Answer:
The equation of the line is [tex]y=-2x-8[/tex]
Step-by-step explanation:
Given slope [tex]m=-2[/tex]
and y-intercept [tex]=(0,-8)[/tex]
ie, y-intercept [tex]c=-8[/tex]
The slope intercept form of the line is [tex]y=mx+c[/tex] where m is slope and c is y-intercept.
Now we can find the equation of the line with slope and y-intercept.
By substituting the values of m and c in equation (1)
(1) [tex]y=mx+c[/tex]
[tex]y=(-2)x+(-8)[/tex]
[tex]-2x-8[/tex] Which is the required equation of the line