Question

Write the equationThe line through (1, 7) and (-6, 7) in point-slope form

Answer 1

ANSWER:

$y-7=0\cdot(x-1)$

STEP-BY-STEP EXPLANATION:

We have that the equation of line in its point-slope form is the following:

$y-y_1=m\cdot(x-x_1)$

We must calculate the slope, we can do it using the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

We replace the points (1, 7) and (-6, 7) and calculate the value of the slope, like this:

$m=\frac{7-7}{-6-1}=\frac{0}{7}=0$

Since the slope is equal to 0, it would not be an equation of a line, since it is a constant, the line through both points would be:

$\begin{gathered} y-7=0\cdot(x-1) \\ y=7 \end{gathered}$