College Math Placement Test Coordinate Geometry 3

Question 1

What is the slope of the line 4x − 2y = 10?

Accepted Answer

2

Answer

Solve for y: −2y = −4x + 10, so y = 2x − 5; the slope is 2.

Question 2

Which equation represents a line with slope −2 passing through (−1, 4)?

Accepted Answer

y = −2x + 2

Answer

y − 4 = −2(x − (−1)) → y − 4 = −2x − 2 → y = −2x + 2.

Question 3

At what point do the lines y = 2x + 1 and y = −x + 7 intersect?

Accepted Answer

(2, 5)

Answer

Set equal: 2x + 1 = −x + 7 → 3x = 6 → x = 2; then y = 2(2) + 1 = 5.

Question 4

Is the point (2, 7) on the line y = 3x + 1?

Accepted Answer

Yes, because 3(2) + 1 = 7

Answer

Substituting x = 2: y = 3(2) + 1 = 7, which matches the point's y-value.

Question 5

What is the slope of the line through (−2, 5) and (4, −1)?

Accepted Answer

−1

Answer

Slope = (−1 − 5)/(4 − (−2)) = −6/6 = −1.

College Math Placement Test Practice Test