Question

Choose the correct x-intercept and y-intercept of the equation 3x - 2y = 6.
Answer
x-intercept: (0, −3), y-intercept: (0, 2)
x-intercept: (−3, 0), y-intercept: (2, 0)
x-intercept: (0, 2), y-intercept: (0, −3)
x-intercept: (2, 0), y-intercept: (0, −3)

Answer 1

divide whole equation by 6

Answer 2

u will get
\[\large \frac{x}{2}+\frac{y}{-3}=1\]
this is intercept form where a=2 and b=-3
so

coordinates are (2,-3)

Answer 3

understood?

Answer 4

you can put this in slope-intercept form. you get y = (3/2)x -3, so inputing zero for both x and y gives (2,0) and (0,-3)

Answer 5

to get x intercept change y to 0, to get y intercept change x to 0
3x - 2y = 6
3(0)-2y =6
-2y=6
y=-3
(0,-3) y-intercept

3x - 2y = 6
3x-2(0) = 6
3x=6
x=2
(2,0) x intercept