Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-15y= 135

Answer 1

We are given an equation of a line in the standard format of aX + bY = c and asked to change it to the slope-intercept format of Y = mX + b. So we need to get the -15Y alone on one side and 6X and 135 on the other side of the equal sign. If we add 15Y to and subtract 135 from both sides, we get 6X - 135 = 15Y. Dividing each item by 15 gives us 2/5X - 9 = Y or Y = 2/5X - 9. We need the fraction rather than a decimal to show the slope as the change in Y over the change in X.

Answer 2

6x-15y= 135

y intercept=6x/15-y=9

y=2x/5-9

x intercept=x-15y/6=22.5

x=22.5+2.5y