Slope intercept form needs two things. The slope and y-intercept.
y = mx + b
m = the slope
b = y-intercept.
In this problem, we are given the slope and a point the line passes through.
m = -3/4
So far we have y = -3/4x + b
To find b, we need to plug the point into the line.
-4 is the x-coordinate, so we plug -4 into x
7 is the y-coordinate, so we plug 7 into y
7 = -3/4(-4) + b
Simplify.
7 = 3 + b
Subtract 3 from both sides.
4 = b
Our equation is: y = -3/4x + 4
The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
(-4,7);m=-3/4
The equation of a linear line in point-slope point is given as,
y = mx + c
Put (-4,7);m=-3/4
7 = -3/4 (-4) + c
c = 7 - 3 = 4
Thus equation will be as, y = (-3/4) x + 4
Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".
For more about the linear function,
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Identify which line from the graph the following right triangles could lie on.
Answer:
Step-by-step explanation:
Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{9}{3}[/tex]
= 3
Slope of line B = [tex]\frac{9}{6}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of line C = [tex]\frac{6}{8}[/tex]
= [tex]\frac{3}{4}[/tex]
5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{90}{120}[/tex]
= [tex]\frac{3}{4}[/tex]
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]
= [tex]\frac{3}{4}[/tex]
Given triangle may lie on the line C.
8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]
= 3
Given triangle may lie on the line A.
Is the decimal form of 19/3 a rational number?
Answer:
yes it is because it can be written in fraction form
Which of the following statements is false? A. If a number is a natural number, then it is rational. B. If a number is a whole number, then it is rational. C. If a number is a fraction, then it is rational. D. If a number is an integer, then it is irrational.
Answer:d bc its integers a rational not irrational
Step-by-step explanation:
Your welcome
Answer:
d
Step-by-step explanation:
i got it right
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.
Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
what is his commission for the week
Answer:
291.5
Step-by-step explanation:
5500×5.3
that's pretty much it lol
( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
Answer:
Step-by-step explanation:
(5 - 2i)^2
25 - 10i - 10i + 4I^2
25 -20i - 4
21 - 20i
PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph
Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.
Answer:
3/5
Step-by-step explanation:
just did it and my school said i got it right
how many dollars will you get if you change
Answer:
Depends on what is the problem!
Which equation is equivalent to x+5=12
Answer:
x=7
Step-by-step explanation:
I NEED HELP ASAP. I need someone who can help with the rest of the questions
Answer:
(6,0)
Step-by-step explanation:
X-value:
10-8=2
8-2=6
Y-value
4-2=2
2-2=0
witch of the following equations could be used to solve the problem? x2+2=36 2x+2=36 2x=36 2x+1=36
Answer:
There is no problem stated, but here is the x's for every equations provided:
Step-by-step explanation:
a.) x²+2=36
x²=34
x=√34
b.) 2x + 2 =36
2x= 34
x= 17
c.)2x=36
x= 18
d.) 2x+1=36
2x=35
x=35/2
A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
What does ¼ x (5.6) equal to
Answer:
The answer is 1.4 because you have to simplify it. Hope this helps :)
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. 6(5x - 3) =
Answer:
30x-18
Step-by-step explanation:
(6)(5x+−3)
=(6)(5x)+(6)(−3)
=30x-18
Brian finished his English assignments in 1/3 hours. Then he completed his math assignments in 1/5 hours. What was the total number of Time Brian spent doing these two assignments
Answer: 8/15
Step-by-step explanation: find the LCD which is 15 in this case, then multiply 1/3 by 5/5 which equals 5/15. then multiply 1/5 by 3/3 which equals 3/15 then add them together =8/15
Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?
Answer:
I need that answer too
Step-by-step explanation:
graph y = -1/4x + 6
Answer: SEE BELOW
If you need further explanation about how to graph, please let me know.
Hope this helps!! :)
please help help help help
Answer:
2(5+4(8+1)) - 4²
=82 + 16
=66
Jay's father is twice as old as jay. In 20 years Jay will be two-thirds as old as his father. How old is each now?
Answer:
the answer is 2
Step-by-step explanation:
If
3x^2+ 9x + 11
X – 1 =
3x2 + 3x + a + 23
X-1
what is the value of a?
Answer:
a = -6 - 6x + 3x^2
Step-by-step explanation:
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next step?
Answer:
A
Step-by-step explanation:
Answer:
5.94 rounded up to the neares tenth is 10
Step-by-step explanation:
logic also I don't think there is a next step
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)
Answer: B
Step-by-step explanation:
To find out how far the turtle went in 16 seconds you have to multiply 16 and -8
Answer:
I have the same question on test and answer is B
Step-by-step explanation:
Can someone please help, ty!!
The set of values that makes an equation true is called
Answer:
Step-by-step explanation:
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
Answer:
Solution
Step-by-step explanation:
To make the equation true, you need to have proof that it is correct. Therefore, a solution.
Does seth or briana walk faster
Answer:
PLEASE GIVE BRAINLIST
you need to be more pacific on your question so that can other people can help you.
HOPE THIS HELPED
Solve inequality.
|3n-2|-2<1
[tex]\text{Hello there! :)}[/tex]
[tex]\boxed{-1/3 < n < 5/3}[/tex]
[tex]|3n - 2| - 2 < 1[/tex]
[tex]\text{Begin simplifying by adding 2 to both sides:}[/tex]
[tex]|3n - 2| < 3[/tex]
[tex]\text{ Solve for the positive and negative solutions:}[/tex]
[tex]3n - 2 < 3\\\\3n < 5\\\\n < 5/3[/tex]
[tex]-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3[/tex]
[tex]\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3[/tex]
PLEASE HELP ASAP IM SPENDING POINTS THAT TOOK ME SO LONG TO GET How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 2 mph
Answer:
1 1/8 hours
Step-by-step explanation:
The relationship between time and speed and distance is ...
time = distance/speed
Then Alex's time is ...
time = (2.25 mi)/(2 mi/h) = 1.125 h
It will take Alex 1 1/8 hours to walk to school at 2 mph.
Enter an algebraic expression to model the given context. Give your answer in simplest form.
The price s of a pair of shoes plus 6% sales tax.
The algebraic expression is
(s)+(s×0.06)=t
t is the total
s is the shoes
which polynomial represents the company’s total output?
Answer:
C. 2b^3 + b^2 - 2b - 380
Step-by-step explanation:
Factory A: 2b^3 - 3b^2 + b - 120
Factory B: 4b^2 - 3b - 260
Add the polynomials:
2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =
Be careful to combine like terms.
= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260
= 2b^3 + b^2 - 2b - 380
Answer: C. 2b^3 + b^2 - 2b - 380
HELP PLZ AND.... HIIIII!
Answer:
0.002 meters per second
Answer: 0.0002 meters per second