At what point does the line 4x−3y=−6 intercept the y-axis?
- A(0,2)
- B(0,
3
2
) - C(2,0)
- D(
3
2
,0)
Solution & Step-by-step Explanation
Any point where a line intercepts the y-axis has an x-coordinate of 0 (x=0).
Substitute x=0 into the given equation of the line:
4(0)−3y=−6
−3y=−6
y=
−3
−6
y=2
Therefore, the y-intercept point is (0,2).
Substitute x=0 into the given equation of the line:
4(0)−3y=−6
−3y=−6
y=
−3
−6
y=2
Therefore, the y-intercept point is (0,2).