- Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept
The easiest method to find the slope and y-intercept is to convert this standard form equation to slope-intercept form. Firstly, subtract 8x on both sides of the equation: [tex]12y=-8x+9[/tex]
Next, divide both sides by 12, and your slope-intercept form is: [tex]y=-\frac{2}{3}x+\frac{3}{4}[/tex]
Now looking at this slope-intercept form, we can see that the slope is -2/3 and the y-intercept is (0, 3/4).
