### All Common Core: 8th Grade Math Resources

## Example Questions

### Example Question #1 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

What is the slope of the line that passes through the points and ?

**Possible Answers:**

**Correct answer:**

The slope of a line is sometimes referred to as "rise over run." This is because the formula for slope is the change in y-value (rise) divided by the change in x-value (run). Therefore, if you are given two points, and , the slope of their line can be found using the following formula:

This gives us .

### Example Question #2 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Given points and , what is the slope of the line connecting them?

**Possible Answers:**

**Correct answer:**

Write the slope formula. Plug in the points and solve.

### Example Question #3 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

What is the slope of the line connecting the points and ?

**Possible Answers:**

**Correct answer:**

Write the slope formula. Plug in the point, and simplify.

### Example Question #4 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

What is the slope of a line with an -intercept is and another -intercept of ?

**Possible Answers:**

**Correct answer:**

The -intercept is the value when .

Therefore, since the two -intercepts are and , the points are and .

Write the slope formula, plug in the values, and solve.

The slope is zero.

### Example Question #5 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Given the points and , find the slope of the line.

**Possible Answers:**

**Correct answer:**

The formula for the slope of a line is .

We then plug in the points given: which is then reduced to .

### Example Question #6 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

A line crosses the x-axis at and the y-axis at . What is the slope of this line?

**Possible Answers:**

None of these.

**Correct answer:**

Given the points,

.

We compute slope (m) as follows:

### Example Question #7 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Find the slope of the line that passes through the points:

and

**Possible Answers:**

**Correct answer:**

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

### Example Question #8 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Find the slope of the line that passes through the points:

and

**Possible Answers:**

**Correct answer:**

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

### Example Question #9 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Find the slope of the line that passes through the points:

and

**Possible Answers:**

**Correct answer:**

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

### Example Question #10 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Find the slope of the line that passes through the points:

and

**Possible Answers:**

**Correct answer:**

Now, substitute in the information using the given points.

Simplify.

Solve.