Answer:
y = -3x - 2
Step-by-step explanation:
Equation of a line passing through [tex](x_1,y_1)[/tex] and slope m is,
[tex]y-y_1=m(x-x_1)[/tex]
Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (0, -2) and (1, -5) will be,
Slope = [tex]\frac{-2+5}{0-1}[/tex]
m = - 3
Therefore, equation of the line passing through (0, -2) and slope = -3 will be,
y + 2 = -3(x - 0)
y + 2 = -3x
y = -3x - 2
