GED Math : Finding Slope and Intercepts

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #21 : Finding Slope And Intercepts

What is the slope of the line?  

Possible Answers:

Correct answer:

Explanation:

To determine the slope, rewrite this equation in slope-intercept form.

, where  is the slope.

Add three on both sides.

Divide by 5 on both sides.

Simplify both sides.

The answer is:  

Example Question #22 : Finding Slope And Intercepts

Determine the slope of the following equation:  

Possible Answers:

Correct answer:

Explanation:

To determine the slope, first put the given equation in slope-intercept form.

Subtract  from both sides.

Divide both sides by negative nine.

The slope is , or .

Example Question #23 : Finding Slope And Intercepts

Find the slope given the following equation:  

Possible Answers:

Correct answer:

Explanation:

The given equation is not in slope-intercept form, .

Multiply both sides by negative half to isolate .

The answer is:  

Example Question #91 : Linear Algebra

What is the y-intercept of the following line:

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we will write the equation in slope-intercept form

where b is the y-intercept.

So, given the equation of the line

we will solve for y. We get

Therefore, the y-intercept of the equation is 3.

Example Question #91 : Linear Algebra

Find the slope of the following line:

Possible Answers:

Correct answer:

Explanation:

To find the slope of the line, we will write the equation in slope-intercept form:

where m is the slope of the line.

So, given the line

we will solve for y. We get

Therefore, the slope of the line is 2.

Example Question #21 : Finding Slope And Intercepts

Determine the slope of the following equation:  

Possible Answers:

Correct answer:

Explanation:

To identify the slope, we will need the equation in slope-intercept form.

Add 6 on both sides.

Subtract  on both sides.

The equation becomes:  

The slope is the coefficient of , which is .

The answer is:  

Example Question #21 : Finding Slope And Intercepts

What is the slope given a point  and a y-intercept of 5?

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the value at , which means another given point is .

Write the formula to find the slope.

Substitute the points.

The answer is:  

Example Question #22 : Finding Slope And Intercepts

What is the slope of the following equation?  

Possible Answers:

Correct answer:

Explanation:

The equation is already given in slope-intercept form:

The  is the slope, and the  represents the y-intercept.

The answer is:  

Example Question #29 : Finding Slope And Intercepts

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the slope of a line:

Plug in the coordinates from the given points to find the slope.

The slope of the line is .

Example Question #30 : Finding Slope And Intercepts

Find the slope of the following equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides.

Divide by negative 6 on both sides.

The answer is:  

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