Question

Convert from standard to slope-intercept form.\

-3x-5y=10
then tell me what is the slope
then tell me what is the y-int?

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

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

given

- 3x - 5y = 10 ( add 3x to both sides )

- 5y = 3x + 10 ( divide through by - 5 )

y = -
`(3)/(5)` x - 2 ← in slope- intercept form

with slope m = -
`(3)/(5)` and y- intercept c = - 2

Answer 2

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

y-intercept (b) =
`-2`

Explanation:

standard form: Ax + By = C

slope-intercept form: y = mx + b

`-3x-5y=10`

to isolate -5y, add -3x to both sides

`-5y = 3x + 10`

divide all the terms by -5

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

y = mx + b

m = slope

b = y-intercept

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

y-intercept (b) =
`-2`