Answer:
Step-by-step explanation:
(x , -2) & (-4, 5)
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\dfrac{5-[-2]}{-4-x}= \dfrac{7}{-11}\\\\ \dfrac{5+2}{-4-x}= \dfrac{7}{-11}\\\\ \dfrac{7}{-4-x}= \dfrac{7}{-11}[/tex]
Cross multiply,
7*(-11) = 7*(-4-x)
-77 = -28 - 7x
Add 28 to both sides,
-77 + 28 = -7x
-49 = -7x
Divide both sides by (-7)
-49/-7 = x
x = 7
