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

Explanation:

Parallel lines have same slope

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

`(-3-y)/(2-5)=(4)/(3)\\\\\\(-3-y)/(-3)=(4)/(3)\\\\\\-3-y=(4)/(3)*(-3)\\\\\\`

-3-y = 4*(-1)

-3 - y = -4

- y = - 4 + 3

-y = -1

Divide both sides by (-1)

y = 1