Question

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

$\left(-4,2\right)$, slope 0

Short answer

The equation of the line in point-slope form is $\mathit{y}\mathbf{+}\mathbf{4}\mathbf{=}\mathbf{0}\left(x-2\right)$.

Step-by-step solution

Step 1. The equation in point-slope form:

The equation of the line passing through the point $\left(x_1,y_1\right)$and having a slope, in point-slope form is given by,

$y-y_1=m\left(x-x_1\right)\mathrm{.........}\left(1\right)$

Step 2. Write an equation for the line passing through the point −2,1 having slope −3. 

Substitute $x_1=-4,y_1=2$and $m=0$in (1)

$$\begin{gathered} y-\left(-4\right)=0\left(x-2\right) \\ y+4=0\left(x-2\right) \end{gathered}$$

Therefore, the equation of the line in point-slope form is $y+4=0\left(x-2\right)$.