Answers
Y-intercept = 2
Slope = -2/3x
X-intercept = 3
To make it easier, write the equation in slope-intercept form (y = Mx + b)
1. Subtract 2x on both sides
3y = 6 - 2x
2. Divide both sides by 3 to get y by itself
3y/3 = 6 - 2x/3
3. Simplify
y = 2 - 2/3x
4. Reorder numbers on the right into slope-intercept form
y = -2/3x + 2
5. Using the information, m = slope and b = y-intercept, find the slope and y-intercept.
Since -2/3 = m, the slope is -2/3 and 2 = b, the y-intercept is 2.
5. To find the x-intercept, set y = 0
0 = -2/3x + 2
6. Subtract two on both sides
-2 = -2/3x
7. Multiply both sides by 3 to get rid of the fraction
-6 = -2x
8. Divide by -2 on both sides to find x
X = 3