Answer: y = -3x + 10
Step-by-step explanation:
Using the formula for finding the equation of line ;
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
[tex]x_{1}[/tex] = 4
[tex]y_{1}[/tex] = -2
m = -3
Substituting into the formula , we have
y - (-2) = - 3 ( x - 4 )
y + 2 = -3x + 12
writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is
y = -3x + 12 - 2
y = -3x + 10