Question

Which line has a slope of -5/8 and goes through the point (2,-3)​

Answer 1

Answer: y = -5x/3 - 7/4

Explanation:

The equation of a line in slope and point form is given as

y -
`y_(1)` = m(x -
`x_(1)`)

where m is the slope

`x_(1)` = 2

`y_(1)` = -3

m = -5/8

Substituting into the formula , we have

y - ( -3 ) = -5/8 ( x - 2 )

y + 3 = -5x/8 + 5/4

This could also be written in slope - intercept form , that means we will make y the subject of the formula

y = -5x/8 + 5/4 - 3

y = -5x/3 - 7/4