Question

Hi!

Please help me! I don't really know what to do!!
Thank you so much!

Find the equation of the line with the same x-intercept as 2x - 5y = 8 and the same y-intercept as 4x - 3y = 12.

Answer 1

`y = 1x - 4`

Explanation:

You have to solve for the x intercept on the equation

`2x-5y=8\\2x-5(0)=8\\2x=8\\x=4\\(4,0)`

That is the x intercept for that equation.

Then solve for the y intercept on the equation

`4x-3y=12\\4(0)-3y=12\\-3y=12\\y=-4\\(0,-4)`

That is the x intercept for that equation.

Use that to find slope for point slope form

`(y_(2)-y_(1))/(x_(2)-_(1)) \\\\(-4-0)/(0-4) \\\\(-4)/(-4) \\\\1`

1 is the slope

and slope makes B the y intercept so the equation is

`y = 1x - 4`