Question

A line that includes the point (-1,6) has a slope of -3. What is its equation in slope-intercept form?

Answer 1

y = -3x + 3

Explanation:

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

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = -3 and the point (-1, 6) → x = -1, y = 6.

Substitute:

`6=(-3)(-1)+b`

`6=3+b` subtract 3 from both sides

`6-3=3-3+b`

`3=b\to b=3`

Finally:

`y=-3x+3`