# Common Core: 8th Grade Math : Graph Proportional Relationships, Interpreting the Unit Rate as the Slope: CCSS.Math.Content.8.EE.B.5

## Example Questions

### Example Question #1 : How To Find The Slope Of A Line

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

Explanation:

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 #1 : 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?

Explanation:

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

### 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 connecting the points  and ?

Explanation:

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

### Example Question #1 : How To Find The Slope Of A Line

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

Explanation:

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 #1 : How To Find The Slope Of A Line

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

Explanation:

The formula for the slope of a line is .

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

### Example Question #5 : 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?

None of these.

Explanation:

Given the points,

.

We compute slope (m) as follows:

### Example Question #6 : 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

Explanation:

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 #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

Explanation:

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

Explanation:

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