Answer:
slope = 3
y-intercept = -4
Step-by-step explanation:
In order to find the slope and the y-intercept, transform the given equation into its slope-intercept form, y = mx + b:
Add 9x to both sides:
-9x + 9x + 3y = 9x - 12
3y = 9x - 12
Divide both sides by 3:
[tex]\frac{3y}{3} = \frac{9x - 12}{3}[/tex]
y = 3x - 4 This is the slope-intercept form where the slope, m = 3, and the y-intercept, b = -4.
To graph the line, start at the y-intercept (0, -4). Then, use your slope, m = 3 (rise 3 units, run 1 unit). Attached is a screenshot of the graphed line, using the rise/run technique. I also plotted extra points.
