Question

A line with a negative slope intersects a horizontal line 3 units above the x-axis. Select each point that can not be the intersection of the two lines.

a. (-2. 3)
b. (-3, 5)
c. (3, -2)
d. (0, -3)

Answer 1

A line with a negative slope intersects a horizontal line 3 units above the x-axis. Two of the given points can potentially be the intersection.

Therefore, the points that cannot be the intersection of the two lines are points B (-3, 5) and C (3, -2).

Step-by-step explanation:

The statement states that a line with a negative slope intersects a horizontal line 3 units above the x-axis. In order for the two lines to intersect, the y-coordinate of the intersection point on the horizontal line must be equal to 3 (since it is 3 units above the x-axis). Let's analyze each point:

1. Point (-2, 3): This point satisfies the condition and can be the intersection of the two lines.
2. Point (-3, 5): This point does not satisfy the condition and cannot be the intersection of the two lines, as the y-coordinate is not 3.
3. Point (3, -2): This point does not satisfy the condition and cannot be the intersection of the two lines, as the y-coordinate is not 3.
4. Point (0, -3): This point satisfies the condition and can be the intersection of the two lines.