Question

What is the equation of a line, in Slope Intercept Form, with a slope of 1/3 and passes through the point (9, 7)?

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope
`m=(1)/(3)\to y=(1)/(3)x+b`

and point (9, 7). Substitute:

`7=(1)/(3)(9)+b`

`7=3+b` subtract 3 from both sides

`4=b\to b=4`

Answer:
`y=(1)/(3)x+4`