Question

Write the equation of the line that passes through (4,8)and (4,6) write the equation in slope intercept form

Answer 1

Answer:

x = 4

Step-by-step explanation:

If you were to plot the given points, you would quickly see that this is a vertical line where x = 4 (a visual is always a good place to start).  

Vertical lines have a slope that is undefined and are written in the form of x = .

If you had plugged into the slope formula $m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }$ , where ($x_{1}, y_{1}$) is (4, 8) and ($x_{2}, y_{2}$) is (4,6) the result would be as follows:

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

    = $\frac{6 - 8}{4 - 4}$

    = $\frac{-2}{0}$

Because you can not divide by 0, the slope is in fact undefined.