Question

Please help I will give brainiest to the right answer!!!!!!!! Please Help!!! ASAP!!!!

Answer 1

Answer:

Yes

Step-by-step explanation:

y = 12(x)+28

(-1,16)

y = 12(-1)+28 = 16

(5,88)

y = 12(5)+28 = 88

Answer 2

Answer:

We conclude that the function $f(x) = 12x + 28$  works.

The graph of the function y = 12x + 28 is also attached below.

Step-by-step explanation:

Given that the line passes through the points

• (-1, 16)

• (5, 88)

Let us determine the slope between (-1, 16) and (5, 88) using the slope formula

$\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}$

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case:

• (x₁, y₁) = (-1, 16)

• (x₂, y₂) = (5, 88)

so subtituting (x₁, y₁) = (-1, 16) and (x₂, y₂) = (5, 88) in the slope formula

$\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{88-16}{5-\left(-1\right)}$

Refine

$m=12$

Thus, the slope of the line is: m =  12

Important Tip:

The slope-intercept form of the line equation is

$y = mx + b$

where m is the slope and b is the y-intercept

now substituting m = 12 and the point (-1, 16) in the slope-intercept form of the line equation

$y = mx + b$

$16 = 12(-1) + b$

switch the equation

$12(-1) + b = 16$

$-12 + b = 16$

Add 12 to both sides

$-12+b+12=16+12$

Simplify

$b=28$

Thus, the y-intercept of the line is: b = 28

now substituting m = 12 and b = 28 in the slope-intercept form of the line equation

$y = mx + b$

$y = 12x + 28$

Thus the equation of the line is:

$y = 12x + 28$

or

$f(x) = 12x + 28$        ∵ $y = f(x)$

Hence, we conclude that the function $f(x) = 12x + 28$  works.

The graph of the function y = 12x + 28 is also attached below.