Question

What is the equation in slope-intercept form of the line that passes through the point (-2,3) and is parallel to the line represented by y= - 3/4x + 4?

Answer 1

`y = (-3)/(4)x + (3)/(2)`

Explanation:

Because is a line the equation is of the form

`y = mx + b`

Since both lines are parallel the slope of both equations are the same

`y = (-3)/(2)x + b`

Now for find the unknow
`b` replace the
`x` and
`y` fo the given point.

`3 = ((3)/(4)) 2 + b`

`3 = (3)/(2) + b`

`3 - (3)/(2) = b`

`(3)/(2) = b`

So the final equation is equal to

`y = (-3)/(4)x + (3)/(2)`