Answer:
The slope is 2/5
Step-by-step explanation:
Slope-Intercept form: y = mx + b
To find the slope, you must rewrite the equation in slope-intercept form by using inverse operations to isolate the y.
1) Subtract 2x from both sides of the equation:
- 2x - 2x - 5y = 9 - 2x
- Result: -5y = -2x + 9; Notice the numbers are rearranged to keep the slope-intercept form. As long as you keep the correct sign, you can rearrange them.
2) Divide both sides by -5:
- - 5y/- 5 = - 2x/- 5 + 9/- 5
- Result: y = 2/5x - 9/5
b = -9/5
m (slope) = 2/5
