Question

What is the slope of a line parallel to 5x — Зу = 18

Answer 1

slope =
`(5)/(3)`

Explanation:

The equation of a line in slope- intercept form is

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

Given

5x - 3y = 18 ( subtract 5x from both sides )

- 3y = - 5x + 18 ( divide the terms by - 3 )

y =
`(5)/(3)` x - 6 ← in slope- intercept form

with slope m =
`(5)/(3)`

Parallel lines have equal slopes , then

slope of line parallel to 5x - 3y = 18 is m =
`(5)/(3)`

Answer 2

slope = 5/3

Explanation:

5x — Зу = 18

-3y = 18 - 5x

y = ( 18 - 5x )/-3

y = 5x/3 -6

comparing with the formula: y = mx + b

where m is slope and b is y-intercept.

Here the slope is 5/3 and y-intercept is -6