Question

Write an equation of the line parallel to 3x + 5 = 2y that has a y-intercept of -1

Answer 1

3x - 2 = 2y

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 5 = 2y into this form by dividing all terms by 2

`(3)/(2)` x +
`(5)/(2)` = y ← in slope- intercept form

with slope m =
`(3)/(2)`

Parallel lines have equal slopes and c = - 1, thus

y =
`(3)/(2)` x - 1 ← in slope- intercept form

Multiply through by 2

2y = 3x - 2 ← equation of line