The best way to find the y-intercept is to convert this standard form equation into slope-intercept form.
- Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept
Firstly, subtract 6x on both sides of the equation: [tex] 2y=-6x+12 [/tex]
Next, divide both sides by 2 and your slope intercept form is [tex] y=-3x+6 [/tex] . And looking at this form, we see that the y-intercept is (0,6).
Next, to find the x-intercept, plug in 0 into the y-variable and solve for x:
[tex] 6x+2*0=12\\6x=12\\x=2 [/tex]
Your x-intercept is (2,0).
