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

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:

We conclude that the function [tex]f(x) = 12x + 28[/tex]  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

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

[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

In our case:

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

[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{88-16}{5-\left(-1\right)}[/tex]

Refine

[tex]m=12[/tex]

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

Important Tip:

The slope-intercept form of the line equation is

[tex]y = mx + b[/tex]

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

[tex]y = mx + b[/tex]

[tex]16 = 12(-1) + b[/tex]

switch the equation

[tex]12(-1) + b = 16[/tex]

[tex]-12 + b = 16[/tex]

Add 12 to both sides

[tex]-12+b+12=16+12[/tex]

Simplify

[tex]b=28[/tex]

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

[tex]y = mx + b[/tex]

[tex]y = 12x + 28[/tex]

Thus the equation of the line is:

[tex]y = 12x + 28[/tex]

or

[tex]f(x) = 12x + 28[/tex]        ∵ [tex]y = f(x)[/tex]

Hence, we conclude that the function [tex]f(x) = 12x + 28[/tex]  works.

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

need help please thxs​

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