Question

What is the point slope form of the line that passes through (3,7) and has a slope of m=0? What about the y-intercept form?

Answer 1

Point-slope form: `y-7=0(x-3)`

Slope-intercept form: `y=7`

Explanation:

Point-slope form:

`y-y_1=m(x-x_1)`,

where `m` is the slope and `(x_1,y_1)` is the point.

Plug in the known values.

`y-7=0(x-3)` `larr` point-slope form

Slope-intercept form:

`y=mx+b`,

where `m` is the slope and `b` is the y-intercept.

Solve the point-slope form for `y`.

`y-7=0(x-3)`

`y-7=0`

Add `7` to both sides.

`y=7` `larr` slope-intercept form, where `m=0`

graph{y-7=0(x-3) [-11.9, 10.6, -0.54, 10.71]}