Question

Determine the equation of the line with slope −4 that passes through the point M(−2, 1).

Answer 1

y=-4x-9

I graphed it on a piece of paper.  If you put the point onto the graph and go down 4 and over one (following your slope given) until you reach the y axis, then you will find your y-intercept of your equation

Answer 2

Y=mx+b
m=slope
b=y-intercept
y=-4x+b 
Plug in the coordinate in place of x and y (-2,1) 
1=-4(-2)+b 
1=8+b
Subtract both sides by 8 to isolate B 

b=-7

Final answer: 
y = −4x − 7