# 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?

Jul 13, 2018

Point-slope form: $y - 7 = 0 \left(x - 3\right)$

Slope-intercept form: $y = 7$

#### Explanation:

Point-slope form:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$,

where $m$ is the slope and $\left({x}_{1} , {y}_{1}\right)$ is the point.

Plug in the known values.

$y - 7 = 0 \left(x - 3\right)$ $\leftarrow$ point-slope form

Slope-intercept form:

$y = m x + b$,

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

Solve the point-slope form for $y$.

$y - 7 = 0 \left(x - 3\right)$

$y - 7 = 0$

Add $7$ to both sides.

$y = 7$ $\leftarrow$ slope-intercept form, where $m = 0$

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