Question

Determine an equation of the line that contains the points (7,2) and (7,-2). Write the equation in slope-intercept form.

Short answer

The equation in slope-intercept form is$y=-4x+26$

Step-by-step solution

Given information. 

The given point is (7,2) and (7,-2).

Determine the slope by using the given points. 

The slope should be calculated by applying the following formula

$$\begin{gathered} m=\frac{y_{2-}{y}_1}{x_2-x_1} \\ m=\frac{-2-\left(2\right)}{7-7} \\ m=\frac{-4}{0} \\ m=-4 \end{gathered}$$

Select one point

Select either point

$\left(x_1=7,y_1=-2\right)$

Simplify the equation in point-slope form y-y1=m(x-x1) 

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-4(x-7) \\ y+2=-4x+28 \\ y=-4x+28-2 \\ y=-4x+26 \end{gathered}$$