slope-intercept from two points (4,-8) and (8,5)​

Answers

Answer 1

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James


Related Questions

mn-rs=x +2p solve for p

Answers

Answer:

[tex]p = \frac{mn-rs - x}{2} [/tex]

Step-by-step explanation:

[tex]if \: mn-rs=x +2p \\ x +2p = mn-rs \\ 2p = mn-rs - x \\ p = \frac{mn-rs - x}{2} [/tex]

can u please help!!! ​

Answers

Answer:

Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?

Step-by-step explanation:

Some number minus 11 is equal to the product of the number and 18.

Answers

Answer:

n - 11 = 18n

Step-by-step explanation:

n−11=18n

Step 1: Subtract 18n from both sides.

n−11−18n=18n−18n

−17n−11=0

Step 2: Add 11 to both sides.

−17n−11+11=0+11

−17n=11

Step 3: Divide both sides by -17.

−17n−17=11−17

n=−1117

Answer:

n = −11/17

Given h(x) = -4x – 5, solve for x when h(x) = 7.

Answers

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

what is 5(-x) equal to?

Answers

Answer:

?

Step-by-step explanation:

where are the options?

I'll mark u the brainliest if u answer this

Answers

Answer:

Option B

m<1 + m<2 = 180-m<3

Explanation:

This is how you will find the third interior angle of a triangle when two angles are already given.

Which expression can be used to convert 100 USD to Japanese yen?

Answers

1 USD = 113.83 Japanese Yen

100 USD = 100 x 113.83 Japanese Yen

100 USD = 11,383.00 Japanese Yen

The slope of the line below is -2

Answers

Option D is the correct answer

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

If a line passes through the point (0,-8), the y-intercept is

Answers

Answer:

y-intercept = -8

Step-by-step explanation:

The y-intercept is where the line goes through the y axis. It is also the value when x = 0. From what the problem gives us, we know the y-intercept is -8 because the x value is 0

What is this number written in scientific notation: 0.0000453​

Answers

Answer:

4.53 x 10^-5

Step-by-step explanation:

A certain plant grows 1 3/4 inches every week how long will it take the plant to grow 9 1/4 inches. HELPPP I’m dumb

Answers

It only takes 13/4 days inn week

Shun bought an MP3 player that usually sells for $68 at a
discount of 15%. What did Shun pay for the discounted
MP3 player?

Answers

Answer:

$57.8

Step-by-step explanation:

68 (Original Price) x 0.15 (Discount in %) = $10.2 (Discount Amount)

68 - 10.2 = 57.8

Answer:

$55.8

Step-by-step explanation:

68 times %15 = 10.2 so subtract 68 by 10.2 and that = 55.8

(1.2÷0.375−0.2)/(6 4/25 ÷15 2/5 +0.8) = (0.016÷0.12+0.7)/x

Answers

Answer:

x=1/3

read below to find out how I solved!

Step-by-step explanation:

break it down.

First do 1.2÷0.375−0.2 = 1.2.

it is now 1.2/(6 4/25 ÷15 2/5 +0.8) = (0.016÷0.12+0.7)/x

now do 6 4/25 ÷15 2/5 +0.8 = 3

it is now 1.2/3 = (0.016÷0.12+0.7)/x

now do 0.016÷0.12+0.7 and that is 5/6

now you have 1.2÷3 = 5/6 ÷ x

solve for x and you should get x = 1/3!!

What is 2/0.75 simplified?

Answers

Answer:

5/4

Step-by-step explanation:

Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1

Answers

Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1

Does anyone know this? If the answer is correct ill mark you as the best answer!

Which of the following does NOT represent the equation y= 2x

Answers

Answer:

G

Step-by-step explanation:

In F, the graph goes up by two and only to the side by 1. 2/1 simplifies to 2.

In H, y being the double of x would be equal to 2/1 again.

And in J, the numbers are also being doubled.

The slope for G would just be 0, which is undefined.

Byron’s workout starts with a
warmup at home, and then he runs
at 4 mi/h. After half an hour of
running, he is 2 miles from home.
What is an equation in point-slope form that represents Byron’s
distance from home, y, after
x hours?

Answers

Answer:

An equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

Step-by-step explanation:

Speed of Byron = 4 miles / hour

Distance traveled in x hours = [tex]Speed \times time[/tex]

Distance traveled in x hours = 4x

We are given that After half an hour of  running, he is 2 miles from home

So, Total distance = 4x+2

So, y = 4x+2

Hence an equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

F(-4)=-8 and f(-8)=-11

Answers

Answer:

f=2 and f=11/8

Step-by-step explanation:

Let's solve your equation step-by-step.

f(−4)=−8

Step 1: Simplify both sides of the equation.

−4f=−8

Step 2: Divide both sides by -4.

−4f

−4

=

−8

−4

f=2

Let's solve your equation step-by-step.

f(−8)=−11

Step 1: Simplify both sides of the equation.

−8f=−11

Step 2: Divide both sides by -8.

−8f

−8

=−11/−8

f=11/8

Pls help i cant think rn
One angles of a linear pair is 10 more than two thirds the other angle. Find the measure of both angles.
20 points and brainliest who ever gets it right!

Answers

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

DUE IN 6 MINUTES!!

Which diagram provides a counter example to the statement below?

“Supplementary angles are never congruent.”


Answers

Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex].  Thus, the appropriate option would be C.

Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].

Congruent property of angles implies that they have equal value.

Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”

Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.

Visit: https://brainly.com/question/14941189

$19.39÷12 I just need the answer asap

Answers

Answer:

$1.62

Step-by-step explanation:

(Why not use a calculator for this?)

Answer:

19.39 divided by 12 is

1.615 or 1.61583333

find the slope and the y intercept of the points (0,1) and (2,-3)​

Answers

Answer:

The slope is -2 and y intercept is 1

Step-by-step explanation:

The slope is found by finding the run, or change in x coordinates from coordinate 1 to 2, which is 2 in this problem, and the rise, or change in y coordinates from coordinate 1 to 2, which is -4 in this problem. To find the y-intercept, you need to find the point on the line that has a x coordinate of 0, which is (0,1) on this line, which means the y-intercept is the y value of the coordinate, or 1.

0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer

Answers

Answer:

-5.49

Good Luck!!!

One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of crackers?

Answers

Answer:

30Cals

Step-by-step explanation:

150/30*6

Easy.

43 +62 +57 + m / 4 = 55

Answers

the answer is .. m= -428

The numbers -12, -7, -2, 3 follow a pattern. What are the next three numbers in this pattern?

Answers

Answer:

8,13

Step-by-step explanation:

The pattern in +5 so 3+5=8, and 8+5=13

Answer:

8, 13, 18

Step-by-step explanation:

You order two servings of pancakes and a fruit cup . The cost of the fruit cup is $1.50 . You leave a 15% tip. Your total bill is 11.50$ . How much is one serving of a pancake ?

Answers

Answer:

$4.25

Step-by-step explanation:

(1.5 + 2p) x 1.15 = 11.5

1.725 + 2.3p=11.5

2.3p=9.775

p=4.25

chek

4.25+4.25+1.5=10

10×1.15=11.5

2. The ground below your feet moves at the rate at which
A. A rocket takes off
B. Sound travels
C. Your fingernails grow

Answers

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
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