Question

What is an equation of the line parallel to 5y=3x+12 that has a y-intercept of 2

Answer 1

y = (3/5)x + 2

Explanation:

slope:

5y = 3x + 12

y = (3/5)x + 12/5

m = 3/5

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y = (3/5)x + 2

Answer 2

y =
`(3)/(5)` x + 2

Explanation:

the equation of a line in slope- intercept form is

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

rearrange 5y = 3x + 12 into this form

divide all terms by 5

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

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

• Parallel lines have equal slopes, hence

y =
`(3)/(5)` x + 2 ← equation of parallel line