Answer:
Slope: 3/2
Y-intercept: -1
Step-by-step explanation:
1. To find the slope and y-intercept, it'd be much easier if we convert this line from Standard Form into Slope-Intercept form.
2. (Solving)
Step 1: Subtract 3x from both sides.
- [tex]3x - 2y - 3x = 2 - 3x[/tex]
- [tex]-2y = -3x + 2[/tex]
Step 2: Divide both sides by -2.
- [tex]\frac{-2y}{-2} = \frac{-3x+2}{-2}[/tex]
- [tex]y = \frac{3}{2}x - 1[/tex]
3. Now that we have our slope-intercept equation (y=mx+b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept), we can easily find the values of the slope and y-intercept.
4. Since 3/2 is in the place of m, that makes it the slope, and since -1 is in the place of b, that makes it the y-intercept.
