Answer:
[tex]y = \frac{3}{5}x - 2[/tex]
Step-by-step explanation:
First, find two points that are located on the given line. In this case, we will use the following points:
(-5 , -5) , (0 , -2)
First, find the slope. The slope can be found using the slope formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (0 , -2)\\(x_2 , y_2) = (-5 , -5)[/tex]
Plug in the corresponding numbers to the corresponding angles:
m = [tex]\frac{-5 - (-2)}{-5 - 0}[/tex]
Simplify. Combine like terms, and then divide:
m = [tex]\frac{-5 + 2}{-5 - 0} = \frac{-3}{-5} = \frac{3}{5}[/tex]
Plug in [tex]\frac{3}{5}[/tex] into the slope (m), and a point into (x , y) to find the y-intercept:
[tex]y = \frac{3}{5}x + b\\-2 = \frac{3}{5}(0) + b\\-2 = 0 + b\\-2 = b\\b = -2\\[/tex]
Your answer:
[tex]y = \frac{3}{5}x - 2[/tex]
