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

Answer:

$y = 1x - 4$

Step-by-step 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

$\frac{y_{2}-y_{1}}{x_{2}-_{1}} \\\\\frac{-4-0}{0-4} \\\\\frac{-4}{-4} \\\\1$

1 is the slope

and slope makes B the y intercept so the equation is

$y = 1x - 4$