- Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.
So starting with the y-intercept, the easiest method to find it is to convert this standard form equation to slope-intercept form. Firstly, add 5x to both sides:
[tex]-4y=5x+10[/tex]
Next, divide both sides by -4 and your slope-intercept form is [tex]y=-\frac{5}{4}x-\frac{5}{2}[/tex]
Looking at this slope-intercept form, the y-intercept is (0, -5/2).
Now to find the x-intercept, just set the y-variable to zero and solve:
[tex]-5x-4*0=10\\-5x=10\\x=-2[/tex]
Our x-intercept is (-2,0).
