Question

Find the slope x intercept and y intercept for the line -8x-6y-4=0​

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 )

Rearrange - 8x - 6y - 4 = 0 by adding 8x + 4 to both sides

- 6y = 8x + 4 ( divide all terms by - 6 )

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

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

To find the x- intercept let y = 0 in the equation and solve for x

- 8x - 0 - 4 = 0 ( add 4 to both sides )

- 8x = 4 ( divide both sides by - 8 )

x = -
`(1)/(2)` ← x- intercept