Question

what is the slope of a line that is perpendicular to the line that contains points (5,4) and (-7,9). explain please

Answer 1

Answer:

$\frac{12}{5}$

Step-by-step explanation:

First find the slope of the line containing points (5,4) and (-7,9).  To find the slope use the formula $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$.  Putting those values in, you have

$\frac{9-4}{-7-5}$

Simplify

$\frac{5}{-12}$

$-\frac{5}{12}$

Then, to find the slope of the line perpendicular to that, find the negative reciprocal.  

$\frac{12}{5}$