Put the following equation of a line into slope-intercept form, simplifying all fractions.

Question

2y-3x=6

Answer 1

To put the equation 2y-3x=6 into slope-intercept form, we need to solve for y.

Starting with the given equation:
2y - 3x = 6

First, we need to isolate the term with y.
2y = 3x + 6

Next, divide both sides of the equation by 2 to solve for y:
y = (3/2)x + 3

So, the equation in slope-intercept form is y = (3/2)x + 3.