Put the following equation of a line into slope-intercept form, simplifying all fractions.
12, y, minus, 9, x, equals, minus, 36
12y−9x=
−36
The equation 12y−9x=−36 can be rearranged to slope-intercept form by isolating y on one side.
Starting with 12y−9x=−36, we can move the term with -9x to the right side by adding 9x to both sides:
12y − 9x + 9x = −36 + 9x
Simplifying, we have:
12y = 9x - 36
To isolate y, we divide both sides of the equation by 12:
(12y)/12 = (9x - 36)/12
Simplifying further, we get:
y = (9/12)x - 3
To simplify the fraction 9/12, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
y = (3/4)x - 3