Question

Help! I’m not sure what this is

Answer 1

Answer:

Equation of line passing through points is: $y=\frac{7}{2}x-6$

Step-by-step explanation:

Given points are;

(-4, -20) and (12, 36)

First we will find slope of the equation,

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

$m = \frac{36-(-20)}{12-(-4)}\\\\m = \frac{36+20}{12+4}\\\\m = \frac{56}{16}\\\\m = \frac{7}{2}$

Equation of a line is given by;

y = mx + b

Putting (-4, -20) in this equation to find b.

$-20=\frac{7}{2}*-4+b\\-20 = -14 + b \\-20+14 = b \\b = -6$

The equation is;

$y = \frac{7}{2}x - 6$

Hence,

Equation of line passing through points is: $y=\frac{7}{2}x-6$