Answer:
C.[tex]-6x-2y=12[/tex]
Step-by-step explanation:
We are given that a graph.
We have to find the equation of given graph.
The line passes through the point (-2,0) and (0,-6).
Slope:m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula
[tex]m=\frac{-6-0}{0+2}=-3[/tex]
Slope-intercept form:[tex]y=mx+C[/tex]
Where m=Slope of line
C=y-intercept
y-intercept: It is that value of y for which x=0
We have y- intercept=-6
Using the formula
Equation of line
[tex]y=-3x-6[/tex]
[tex]3x+y=-6[/tex]
Multiply by -2 on both sides then we get
[tex]-6x-2y=12[/tex]
