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First I will find the slope using the slope formula;

-4 - 8 / 3 - 7

-12/-4

3

So 3 is the slope now we just subtract 13 to get the points, so the equation is 

y = 3x - 13

If correct brainliest please

Thank you

:)

The equation that represents the line that passes through the points (7, 8) and (3, -4) is (y = 3x - 13) and this can be determined by using the two-point slope form of the line.

Given :

Points -- (7, 8) and (3, -4)

The following steps can be used in order to determine the equation that represents the line that passes through the points (7, 8) and (3, -4):

Step 1 - The two-point slope form of the line can be used in order to determine the equation that represents the line that passes through the points (7, 8) and (3, -4).

Step 2 - The two-point slope formula is given below:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 3 - Now, substitute the values of the known terms in the above formula.

[tex]\dfrac{y-8}{x-7}=\dfrac{-4-8}{3-7}[/tex]

Step 4 - Simplify the above expression.

(y - 8) = 3(x - 7)

y = 3x - 13

For more information, refer to the link given below:

https://brainly.com/question/2564656

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