Answer:
y = -4x - 7
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -4 and the point M(-2, 1).
The equation of a line:
[tex]y=-4x+b[/tex]
Put the coordinates of the point M to the equation of a line:
[tex]1=-4(-2)+b[/tex]
[tex]1=8+b[/tex] subtract 8 from both sides
[tex]-7=b\to b=-7[/tex]
Finally:
[tex]y=-4x-7[/tex]
