Question

What is the equation of a line, in Slope Intercept Form, with a slope of 3 and passes through the point (2, 4)?

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope
`m=3\to y=3x+b`

and point (2, 4). Substitute:

`4=3(2)+b`

`4=6+b` subtract 6 from both sides

`-2=b\to b=-2`

Answer:
`y=3x-2`