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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.

Sagot :

Theleangreenbeanidn

Answer:

k = -5

Step-by-step explanation:

Hi there!

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

Plug in the given information:

[tex]\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[/tex]

I hope this helps!

Answer:

k=43

Step-by-step explanation:

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