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