Question

The points (−4, −3) and (3, y) lie on the same line.

Answer 1

Answer:

y= 11

Step-by-step explanation:

$\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Substituting the coordinates and value of slope:

$\frac{y - ( - 3)}{3 - ( - 4)} = 2$

$\frac{y + 3}{3 + 4} = 2$

$\frac{y + 3}{7} = 2$

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11