8th Grade Slope and Similar Triangles Quiz: 10 Questions with Explanations

A \(2\)B \(\frac{1}{2}\)C \(4\)D \(8\)

Rise = 8 and run = 4, so slope = 2. Reversing gives 1/2.

A \(5\)B \(8\)C \(-8\)D \(\frac{8}{5}\)

In \(y = mx + b\), b = -8.

A \(y = 2x + 2\)B \(y = \frac{1}{2}x + 4\)C \(y = x + 2\)D \(y = \frac{1}{2}x + 2\)

Rise 2 over run 4 gives 1/2, and the line crosses at (0, 2).

A \(y = -3x – 1\)B \(y = \frac{1}{3}x – 1\)C \(y = 3x + 6\)D \(y = x – 1\)

Parallel lines have the same slope, 3.

A \(y = -x + 9\)B \(y = x + 9\)C \(y = x – 9\)D \(y = 9x\)

Subtract x from both sides.

A 4B 5C 6D 8

Slope 1/2, so rise = 10 x 1/2 = 5.

A \(y = 3x – 1\)B \(y = 3x + 5\)C \(y = 3x + 2\)D \(y = 2x + 3\)

5 = 6 + b, so b = -1.

A 6B undefinedC 1D 0

A horizontal line has no rise, so its slope is 0.

A \(4\)B \(\frac{1}{4}\)C \(\frac{1}{3}\)D \(15\)

3 divided by 12 = 1/4. The run is the horizontal distance, not the length of the ramp.

A \((4, 11)\)B \((4, 5)\)C \((3, 9)\)D \((0, 3)\)

2(4) – 3 = 5.