Respuesta :

Answer:

Slope = -7/2

y intercept = -91/4

Step-by-step explanation:

Given the line

x =  [tex]\frac{-13}{2}[/tex] - [tex]\frac{2}{7}[/tex] y

We know that in the equation y = mx + c, m is slope and c is y intercept,

So bring the given equation to above form,

x =  [tex]\frac{-13}{2}[/tex] - [tex]\frac{2}{7}[/tex] y

x = [tex]\frac{-91-4y}{14}[/tex]

14x = -91 -4y

4y = -14x-91

y = [tex]\frac{-14x}{4}[/tex]  [tex]\frac{-91}{4}[/tex]

comparing above equation with y= mx+c

slope, m = [tex]\frac{-14}{4}[/tex] = [tex]\frac{-7}{2}[/tex]

y intercept, c = [tex]\frac{-91}{4}[/tex]