Question

What is the slope of any line parallel to the line 2x-3y=7?

Answer 1

slope =
`(2)/(3)`

Explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

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

Rearrange 2x - 3y = 7 into this form by subtracting 2x from both sides

- 3y = - 2x + 7 ( divide terms by - 3 )

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

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

Thus the slope of any parallel line is m =
`(2)/(3)`

Answer 2

Rewrite 2x-3y=7 in slope-intercept is y=2/3x-7/3, and y=mx+b and m is the slope so m=2/3.