Question

Write the equation of the line in slope-intercept form that is parallel given the equation and point.

Answer 1

`y = (4x)/(5)+(42)/(5)`

Explanation:

In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.

We're given an ordered pair, so we can solve for
`b` in the (slope-intercept form) equation
`y = mx + b`

`2 = (4)/(5)(-8) + b\\2 = (-32)/(5)+b\\b = 2 + (32)/(5)\\  b = (42)/(5)`

`y = (4x)/(5)+(42)/(5)`