Answer
$y = -\frac{3}{2}x + 5$
Work Step by Step
We are given the line $3x + 2y = 10$.
This equation is in standard form, which is given by the formula:
$Ax + By = C$
However, we want this line in slope-intercept form.
The first thing we want to do is isolate the $y$ term by moving the $x$ term to the other side of the equation. We do this by subtracting $3x$ from each side of the equation:
$3x - 3x + 2y = -3x + 10$
Add to simplify the equation:
$2y = -3x + 10$
To isolate $y$, we divide both sides by $2$:
$\frac{2y}{2} = \frac{-3x}{2} + \frac{10}{2}$
Divide to simplify:
$y = -\frac{3}{2}x + 5$
This line is now rewritten in slope-intercept form.
