Answer:
y = 2
Step-by-step explanation:
Slope that passes through two points, (10, y) and (3, 4) = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Where,
[tex] (10, y) = (x_1, y_1) [/tex]
[tex] (3, 4) = (x_2, y_2) [/tex]
m = -²/7
Plug in the values
[tex] \frac{-2}{7} = \frac{4 - y}{3 - 10} [/tex]
[tex] \frac{-2}{7} = \frac{4 - y}{-7} [/tex]
Cross multiply
[tex] -2*-7 = 7(4 - y) [/tex]
[tex] 14 = 28 - 7y [/tex]
[tex] 7y = 28 - 14 [/tex]
[tex] 7y = 14 [/tex]
Divide both sides by 7
y = 2
