Question

The line passing through points (5,) and (2,−3) is parallel to a line with a slope of 4/3. What is the value of y?

Answer 1

Answer:

Step-by-step explanation:

Parallel lines have same slope

Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\dfrac{-3-y}{2-5}=\dfrac{4}{3}\\\\\\\dfrac{-3-y}{-3}=\dfrac{4}{3}\\\\\\-3-y=\dfrac{4}{3}*(-3)$

-3-y = 4*(-1)

-3 - y = -4

- y = - 4 + 3

-y = -1

Divide both sides by (-1)

y = 1