Answer: [tex]y=-3x-15[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" the y-intercept.
Since the given line has a y-intercept at (0,-15), then:
[tex]b=-15[/tex]
The formula for calculate the slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:
[tex]m=\frac{-15-(-3)}{0-(-4)}=-3[/tex]
Substituting values into [tex]y=mx+b[/tex], we get that the equation of the line in Slope-Intercept form is:
[tex]y=-3x-15[/tex]
