Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42

Answer 1

`y=-(5)/(6) + 7`

Explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

`6y=-5x+42`

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

`y=-(5)/(6) + 7`