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

Question

4, y, minus, 4, x, equals, minus, 36
4y−4x=
−36

Answer 1

To convert the equation 4y - 4x = -36 into slope-intercept form, we need to isolate y on one side of the equation.

Starting with 4y - 4x = -36, we can add 4x to both sides of the equation to get rid of the -4x term:

4y - 4x + 4x = -36 + 4x
4y = 4x - 36

Now, divide both sides of the equation by 4 to isolate y:

4y/4 = (4x - 36)/4
y = (4/4)x - 36/4

Simplifying the fractions:

y = x - 9

Therefore, the equation in slope-intercept form is y = x - 9.