Find the x - and y - intercepts of 2x - 2y = - 6

to find the intercepts, that is where the graph crosses the x and y axes

• let x = 0, in the equation for y - intercept

• let y = 0, in the equation for x - intercept

x = 0 : 0 - 2y = - 6 ⇔ y = 3 ← y - intercept → (0, - 3)

y = 0 : 2x - 0 = - 6 ⇒ x = - 3 ← x - intercept → ( - 3, 0)

2x-2y=-6

-2y = - 2x-6

y=x+3

Y-intercept = 3

X-intercept = - 3