Question

select the correct answer.
which line has a y - intercept of 2 and an x - intercept of -3?
line a
graph of line a
line b
graph of line b
line c
graph of line c
line d
graph of line d
a. line a
b. line b
c. line c
d. line d

Explanation:

Step1: Recall intercept definitions

The y - intercept is the point where the line crosses the y - axis (x = 0), and the x - intercept is the point where the line crosses the x - axis (y = 0). We need to check each line for y - intercept = 2 and x - intercept=-3.

Step2: Analyze Line A

• For Line A: When x = 0, the line crosses the y - axis at y = 2 (so y - intercept = 2). When y = 0, the line crosses the x - axis at x=-3 (so x - intercept=-3).

Step3: Analyze Line B

• For Line B: When x = 0, the line crosses the y - axis at y=-2 (y - intercept=-2≠2), so we can eliminate Line B.

Step4: Analyze Line C

• For Line C: When x = 0, the line crosses the y - axis at y = 3 (y - intercept = 3≠2), so we can eliminate Line C.

Step5: Analyze Line D

• For Line D: When x = 0, the line crosses the y - axis at y=-3 (y - intercept=-3≠2), so we can eliminate Line D.

Answer:

A. Line A