Question

Find slope intercept form of 5x+8y=120 passing through (4,5)

Answer 1

`y=-(5/8)x+(15/2)` or
`y=-0.625x+7.5`

Explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

`5x+8y=120`

isolate the variable y

`8y=-5x+120`

`y=-(5/8)x+15`

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

`y=mx+b`

we have

m=-5/8 and point (4,5)

substitute and solve for b

`5=-(5/8)(4)+b`

`b=5+(20/8)`

`b=60/8=15/2=7.5`

substitute

`y=-(5/8)x+(15/2)`

or

`y=-0.625x+7.5`