Answer:
[tex]y = -3x - 3[/tex]
Step-by-step explanation:
From the graph, we have the following coordinate points:
[tex](x_1,y_1) = (0,-3)[/tex]
[tex](x_2,y_2) = (-1,0)[/tex]
To determine the equation, we start by calculating the slope:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
This gives:
[tex]m = \frac{-3 - 0}{0 - (-1)}[/tex]
[tex]m = \frac{-3}{0+1}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (0,-3)[/tex]
[tex]m = -3[/tex]
This gives:
[tex]y - (-3) = -3(x - 0)[/tex]
[tex]y - (-3) = -3(x)[/tex]
[tex]y +3 = -3(x)[/tex]
[tex]y +3 = -3x[/tex]
Make y the subject
[tex]y = -3x - 3[/tex]
