Question

Use an equation to find the value of k so that the line passing through (−4,k) and (6,−7) has a slope of −1/5.

Answer 1

Answer:

k=43

Step-by-step explanation:

Answer 2

Answer:

k = -5

Step-by-step explanation:

Hi there!

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where the two points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given information:

$\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6-(-4)} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6+4} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{10} \\\\\displaystyle -\frac{2}{10}= \displaystyle- \frac{-7-k}{10} \\\\-2=-7-k\\k=-5$

I hope this helps!