Question

What is the equation of a line, in Slope Intercept Form, with a slope of 2 and passes through the point (6, 9)?

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 2 → $y=2x+b$

and point (6, 9). Substitute:

$9=2(6)+b$

$9=12+b$       sunbract 12 from both sides

$-3=b\to b=-3$

Answer: y = 2x - 3