Question

Using the image below, answer the following questions. Be sure to answer all three questions, in order.A. Do RS and UV have equivalent slopes? Yes or noB. What is the slope of SQC. Name a segment that has an undefined slope.

Answer 1

A. Do RS and UV have equivalent slopes?

Let's determine their slopes.

Slope of RS:

`\text{ Slope of RS = }\frac{\text{ Rise}}{\text{ Run}}\text{ = }\frac{\text{ 6 units}}{\text{ 6 units}}\text{ = 1}`

Slope of UV:

`\text{ Slope of UV = }\frac{\text{ Rise}}{\text{ Run}}\text{ = }\frac{\text{ 3}}{\text{ 3}}\text{ = 1}`

Therefore, the answer is YES. They have the same slopes.

B. What is the slope of SQ.

Given:

Point 1 = Point Q = (-2, 1)

Point 2 = Point S = (-8, 1)

Let's determine the slope.

`\text{ Slope = m = }(y_2-y_1)/(x_2-x_1)\text{ = }\frac{\text{ 1-1}}{-8\text{ - (-2)}}\text{ = }\frac{0}{-8+\text{ 2}}=(0)/(-6)\text{ = 0}`

Therefore, the slope of SQ is 0.

C. Name a segment that has an undefined slope.

Vertical lines are said to have an "undefined slope," as their slope appears to be some infinitely large, undefined value.

In the given figure, segments QR and TU are vertical lines.

Therefore, segments QR and TU have an undefined slope.