Question

Find the slope and y intercept of the line 5x-9y=45

Answer 1

slope =
`(5)/(9)` , y- intercept = - 5

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 - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y =
`(-5)/(-9)` x +
`(45)/(-9)` , that is

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

with slope m =
`(5)/(9)` and y- intercept c = - 5