Mathematics High School

A line with a slope of -1/4 passes through the point (8,7). What is it's equation in slope- interception form?

Answers

Answer 1

Answer:

y= -1/4x + 9

Step-by-step explanation:

When given the point (8,7) and the slope -1/4, you have to convert this into a formula called point slope form. This is the formula:

y - y1 = m(x - x1)

First, label the given information.

-1/4= m (slope)

8= x1 (the first x given)

7= y1 (the first y given)

Then, plug in the values into the equation

y - 7 = -1/4(x - 8)

After, do the property of distribution by multiplying the -1/4 with whatever is in the bracket

-1/4 multiplyed by x= -1/4x

-1/4 multiplyed by -8= 2

Next, bring the 7 to the other side of the equal sign by adding the 7 from one side to the 2. Then combine like terms

y - 7 = -1/4x +2

 +7            +7  

This gets you your answer:

y = -1/4x +9

Related Questions

what is the price of 29.99 after a 33 1/3 markdown?

Answers

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

Mkae me the brainlist plssss

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

The Y- intercept form from the line whose slope is 2 and passes through (-7,11)

Answers

Answer:

y = 2x + 25

Step-by-step explanation:

Slope-Intercept Form: y = mx+b

Slope: m = 2

y = 2x + b

Solve for b:

y = 2x + b

11 = 2(-7) + b

11 = -14 + b

b = 25

y = 2x + 25

Solve the system of equations..
y = 8x - 6
y= 5x +9

Answers

Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34

X=5 and y= 34 are the values

What is sin 60 degrees?

Answers

Answer:

A

Step-by-step explanation:

how do simplify -15.6/-4

Answers

In your question you want -15.6/-4?

The answer is -3.9

Step-by-step explanation:

(please help I will give brainlist) Twenty students tried out for the basketball team. Sever were selected. What is the ratio of students selected to those trying out?

Answers

Answer:

7:20

Step-by-step explanation:

35% of the students made the team

Answer:

7:20

Step-by-step explanation:

hope this helps :)

Evaluate the following algebraic expression for the given value of the variable ​

Answers

Answer:

[tex]\boxed{8}[/tex]

Step-by-step explanation:

-Solve the following expression when [tex]x = 4[/tex]:

[tex]\frac{5x + 12}{4}[/tex]

-Apply the value of [tex]x[/tex] onto the equation:

[tex]\frac{5x + 12}{4}[/tex]

[tex]\frac{5(4)+ 12}{4}[/tex]

-Multiply both the [tex]5[/tex] and [tex]4[/tex]:

[tex]\frac{5(4)+ 12}{4}[/tex]

[tex]\frac{20+ 12}{4}[/tex]

-Add both [tex]20[/tex] and [tex]12[/tex]:

[tex]\frac{20+ 12}{4}[/tex]

[tex]\frac{32}{4}[/tex]

-Divide [tex]32[/tex] by [tex]4[/tex]:

[tex]\frac{32}{4}[/tex]

[tex]\boxed{8}[/tex]

So, therefore, the final answer is [tex]8[/tex].

Answer:

Step-by-step explanation:

My answer is 8!!!

If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.

Help it is for Geometry

Answers

Answer:

-3/4

Step-by-step explanation:

Which postulate or theorem proves that these two triangles are congruent?
A. ASA Congruence Postulate
B. AAS Congruence Theorem
C. HL Congruence Theorem
D. SAS Congruence Postulate

Answers

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

∠NMR ≅ ∠NPQ

NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

              Statements                               Reasons

1). NR ≅ QN                                 1). Given

2). ∠NMR ≅ ∠NPQ                     2). Given

3). ∠MNR ≅ ∠PNQ                     3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ                     4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

Answer:

B: AAS Congruence Theorem

In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 270 degree counterclockwise rotation?

Answers

Answer:

Square

Step-by-step explanation:

what is 5.6 rounded to the nearest tenth

Answers

6? Cuz you have to round up due to it being 5.6

Answer:

it would be 5.60

Step-by-step explanation:

5.60 is the answer

please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

x/3-8=-2

3x – 6 = -12

x/-3=8

Answers

1. 5x-(3x-6)=18
5x-3x+6=18
2x=12
X=6

6. X/-3=8
(-3) x/-3= 8(-3)
X= -24

8.673

8.637

Is 8.673 greater, least, or are they equal?

Answers

Answer:

the answer is greater...


If f(x) = 2x + 1 and
g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?

Answers

Answer:

The smallest solution is x=-1

Step-by-step explanation:

Quadratic Equation

We have:

[tex]f(x)=2x+1[/tex]

[tex]g(x)=-(x-1)^2+3[/tex]

We'll find the solutions of f(x)=g(x), or:

[tex]2x+1=-(x-1)^2+3[/tex]

Operating:

[tex]2x+1=-(x^2-2x+1)+3[/tex]

[tex]2x+1=-x^2+2x-1+3[/tex]

Rearranging all terms on the left side:

[tex]2x+1+x^2-2x+1-3=0[/tex]

Simplifying:

[tex]x^2-1=0[/tex]

Since the term with the x is missing, we can solve for x:

[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]

There are two solutions:

x=1, x=-1

The smallest solution is x=-1

(x + 1)(x - 3)(x - 4)

Answers

Answer:

Simplified:

x^3 - 6x^2 + 5x + 12

Roots:

-1

3

4

Your answer is x^3-6x^2+5x+12

Can someone help me find. The mean absolute deviation of the data?

Answers

Answer:

F

Step-by-step explanation:

21+14+30+38+42= 145

145÷5= 29

Hope this helps, have a good day!

What is 39% of 198? Percantage

Answers

Answer:

39% of 198 = 77.22

Have a nice day.

Answer:77.22Step-by-step explanation:

1: Calculate the percentage of a number.

For example: 39% of 198 = 77.22

2: Calculate a percentage based on 2 numbers.

For example: 77.22/198 = 39%

hope this help!

A board 8 ft long is cut into three equals pieces. How long are the pieces?

Answers

Answer:

A

Step-by-step explanation:

please help I am struggling with these problems​

Answers

It is the first option

Write an expression meaning a number divided by 4 + 8.

Answers

Answer:

x/4+8

Step-by-step explanation:

....................................

Answer:

what i believe you are looking for:

[tex] \frac{x}{4 + 8} [/tex]

What is 7/8 minus 6 3/4

Answers

Answer:

(7/8) - (6 3/4) = -5.875

MATH QUESTION PLS HELP!

Answers

Answer:

4) -14/5

Step-by-step explanation:

Answer is 4 -14/5 !!

Find the missing side

Answers

Answer:

x= 40

Step-by-step explanation:

the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6

multiply the side congruent to x by 1.6, so 25 and 1.6

you should get 40

I need HELP ASAP RIGHT AWAY​

Answers

Answer:

line c and e

Step-by-step explanation:

984 divide 24????????

Answers

Answer:   41

Step-by-step explanation:

Find the missing side This is due in a hour

Answers

Answer:

The Arch is 630 ft tall

Step-by-step explanation:

Triangle ABC is located in the third quadrant of a coordinate plane. If triangle ABC is reflected across the −axis to obtain triangle, A’B’C’, which statement is true? A. Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC B. Triangle A’B’C’ lies in quadrant IV and is congruent to Triangle ABC C. Triangle A’B’C’ lies in quadrant II and is not congruent to Triangle ABC D. Triangle A’B’C’ lies in quadrant IV and is not congruent to Triangle ABC

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

It’s Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC

Step-by-step explanation:

I just took the test

674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+

Answers

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

helppp pleasee (picture included)

Answers

Answer:

It's D

Step-by-step explanation:

D (hdbdbdbbdbdndbddbdbdbfxbxbx

Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She repays $3221.75. How many years was the loan period?

Answers

Answer:

90.7yrs.  

Step-by-step explanation:

Given parameters:

Amount borrowed  = $2450

Interest rate  = 3.5%

Amount repaid = $3221.75

Unknown:

Number of years the load was paid  = ?

Solution:

The formula of simple interest;

    I = PRT

Where I is the interest

           P is the principal

          R is the rate

          T is the time

  To find the interest;

    Interest = Amount paid back - loan  = 3221.75 - 2450  = 771.75

Now;

     P = IRT

     2450  = 771.75 x [tex]\frac{3.5}{100}[/tex]  x T

     2450 = [tex]\frac{2701.25T}{100}[/tex]

    T = [tex]\frac{245000}{2701.125}[/tex]   = 90.7yrs

The number of years of the loan period was 90.7yrs.  

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