Answer:
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
Step-by-step explanation:
Given points are;
(-4, -20) and (12, 36)
First we will find slope of the equation,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{36-(-20)}{12-(-4)}\\\\m = \frac{36+20}{12+4}\\\\m = \frac{56}{16}\\\\m = \frac{7}{2}[/tex]
Equation of a line is given by;
y = mx + b
Putting (-4, -20) in this equation to find b.
[tex]-20=\frac{7}{2}*-4+b\\-20 = -14 + b \\-20+14 = b \\b = -6[/tex]
The equation is;
[tex]y = \frac{7}{2}x - 6[/tex]
Hence,
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
