Question

if a line started at the point (-2,6) and has a slope of 3, what is the equation of the line?

Answer 1

The slope-intercept form:

$y=mx+b$

We have the point (-2, 6) and the slope m = 3. Substitute:

$6=3(-2)+b$

$6=-6+b$       add 6 to both sides

$12=b\to b=12$

Answer: $\boxed{y=3x+12}$