Question

Write the equation of a line, in slope intercept form, that has a slope of 3 and passes through the point (1, -1).

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 (1, -1). Substitute:

`-1=3(1)+b`

`-1=3+b` subtract 3 from both sides

`-4=b\to b=-4`

Answer:
`y=3x-4`