Understanding Slope and Its Properties

Understanding Slope and Its Properties

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the slope of a line passing through two points. It introduces the slope formula, m = (y2 - y1) / (x2 - x1), and demonstrates its application using the points (5, 4) and (8, 6). The tutorial walks through the calculation step-by-step, showing how to subtract the y-values and x-values, and then simplify the result to find the slope, which is 2/3.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the slope of a line given two points?

Graph the line on a coordinate plane.

Calculate the midpoint of the line.

Identify the coordinates of the two points.

Find the distance between the two points.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the correct formula for calculating the slope of a line?

m = (x2 + x1) / (y2 + y1)

m = (x2 - x1) / (y2 - y1)

m = (y2 + y1) / (x2 + x1)

m = (y2 - y1) / (x2 - x1)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the slope formula m = (y2 - y1) / (x2 - x1), what do y2 and y1 represent?

The x-coordinates of the points

The slope of the line

The midpoint of the line

The y-coordinates of the points

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which operation is performed first when using the slope formula?

Multiplication

Division

Subtraction

Addition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y2 - y1 for the points (5, 4) and (8, 6)?

2

6

4

8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x2 - x1 for the points (5, 4) and (8, 6)?

4

3

2

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After applying the slope formula to the points (5, 4) and (8, 6), what is the resulting fraction?

2/3

1/2

3/4

4/5

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