Question

If the line px -5y = 60 has a slope of -23 then p equals ....

Answer 1

p = - 115

Explanation:

The equation of a line in slope- intercept form is

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

Given

px - 5y = 60 ( subtract px from both sides )

- 5y = - px + 60 ( divide all terms by - 5 )

y =
`(1)/(5)` px - 12 ← in slope- intercept form

with slope m =
`(1)/(5)` p , thus

`(1)/(5)` p = - 23 ( multiply both sides by 5 to clear the fraction )

p = - 115