Question

-3x-4=-5y-8 what is the y-intercept and x-intercept

Answer 1

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To find the y-intercept just need to put 0 instead of x in the equation.

`- 3(0) - 4 = - 5y - 8`

`- 4 = - 5y - 8`

Add sides 8

`-4 + 8 = - 5y - 8 + 8`

`4 = - 5y`

Divide sides by -5

`(4)/( - 5) = ( - 5)/( - 5) y \\`

`y = - (4)/(5) \\`

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To find the x-intercept just need to put 0 instead of y in the equation.

`- 3x - 4 = - 5(0) - 8`

`- 3x - 4 = - 8`

Add sides 4

`- 3x - 4 + 4 = - 8 + 4`

`- 3x = - 4`

Negatives simplifies

`3x = 4`

Divide sides by 3

`(3)/(3) x = (4)/(3) \\`

`x = (4)/(3) \\`

Done...

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Answer 2

3/5x + 4/5 = y

or

y = 3/5x + 4/5