how do you solve this with linear equations in slope intercept form -5x + 4y = 6

Question

I reallly need help. it's Write the linear equation in slope-intercept for: -5x+4y=6

Answer 1

Slope intercept form is y = mx+b

Here m is slope and b is y intercept.

Given line equation is -5x+4y = 6

Add 5x to each side.

-5x+5x+4y = 6+5x

4y = 6+5x

Divide by 4 to each side.

4y/4 = (6+5x)/4

y = 6/4+5x/4

y = 3/2+(5/4)x

y = (5/4)x+3/2

Substitute y = 0 to find x intercept.

0 =(5/4)x+3/2

-3/2 =(5/4)x

-3/2*4/5 = x

-6/5 = x

So y intercept is 3/2 and x intercept is -6/5.