Put the following equation of a line into slope-intercept form, simplifying all fractions.
3, x, minus, 2, y, equals, minus, 2
3x−2y=
−2
To put the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y:
3x - 2y = -2
Start by isolating the term with y by subtracting 3x from both sides of the equation:
-2y = -3x - 2
Next, divide both sides of the equation by -2 to solve for y:
y = (-3x - 2) / -2
Simplify the fraction:
y = (3/2)x + 1