Question

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

Answer 1

y = -4x - 7

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = -4 and the point M(-2, 1).

The equation of a line:

`y=-4x+b`

Put the coordinates of the point M to the equation of a line:

`1=-4(-2)+b`

`1=8+b` subtract 8 from both sides

`-7=b\to b=-7`

Finally:

`y=-4x-7`