Answer: Equation of line is y = 6x + 16
Explaination:
Given two coordinates (-2,4) and (-4,-8)
We named the points like [tex] x_{1} =-2
[/tex]
[tex] y_{1} =4
x_{2} =-4
y_{2} =-8 [/tex]
We will find the slope of the line
m = [tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
m = [tex] \frac{-8-4}{-4+2} [/tex]
m = [tex] \frac{-12}{-2} = 6 [/tex]
now use the point slope form of line :
y − [tex] y_{1} [/tex] = m(x − [tex] x_{1} [/tex])
y - 4 = 6(x + 2)
y = 6x + 12 + 4
y = 6x + 16
