GED Math : Finding Slope and Intercepts

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #31 : Finding Slope And Intercepts

Find the slope of the following line:

Possible Answers:

Correct answer:

Explanation:

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

where m is the slope and b is the y-intercept. 

So, given the equation

we will solve for y. We get

 

 

Now, if we compare this equation to the slope-intercept form above, we can see that 9 is the slope. 

Example Question #32 : Finding Slope And Intercepts

Find the y-intercept of the following equation:

Possible Answers:

Correct answer:

Explanation:

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

where m is the slope and b is the y-intercept.

So, given the equation

we will solve for y. We get

 

 

So, if we compare this equation to the formula above, we can see that the y-intercept is 2.

Example Question #31 : Finding Slope And Intercepts

What is the y-intercept to the equation ?

Possible Answers:

Correct answer:

Explanation:

The equation is already given in slope-intercept format.

The y-intercept is denoted by the letter .

The answer is:  

Example Question #32 : Finding Slope And Intercepts

What is the slope of the following equation?  

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in slope-intercept format:

Divide both sides by two.

The slope is .

Example Question #32 : Finding Slope And Intercepts

Find the slope given the following equation:  

Possible Answers:

Correct answer:

Explanation:

The slope is the value of  in the slope-intercept equation: 

The equation is already given in slope-intercept format.

This means that the slope is:  

Example Question #831 : Ged Math

Find the slope of the following equation:  

Possible Answers:

Correct answer:

Explanation:

Combine like terms of the left.

Divide by 2 on both sides.

Now that the equation is in slope-intercept form , we can identify the coefficient in front of the x-variable.

The answer is:  

Example Question #32 : Finding Slope And Intercepts

Find the slope of the line which passes through the following points:

 

Possible Answers:

Correct answer:

Explanation:

Find the slope of the line which passes through the following points:

 

To find the slope of a line, use the following formula

Note that it doesn't matter which point is "1" and which point is "2," so long as we are consistent.

Let's make our points 

Point 1:

Point 2:

Now, recall that points are an x and a y value as follows: (x,y)

So, our slope is 

Example Question #34 : Finding Slope And Intercepts

Which of the following lines are perpendicular to the following equation?

Possible Answers:

Correct answer:

Explanation:

Which of the following lines are perpendicular to the following equation?

Perpendicular lines have opposite reciprocal slopes. This means that our answer will have a slope that is positive, and will be the reciprocal of one-fourth.

So, our answer must have a slope of 4.

Try this!

Example Question #31 : Finding Slope And Intercepts

Give the -coordinate of the -intercept of the line of the equation

Possible Answers:

Correct answer:

Explanation:

the -intercept of the line is the point at which it intersects the -axis. The -coordinate of the point is 0, so substitute 0 for  in the equation and solve for :

Isolate  on one side by first subtracting 17 from both sides:

Divide both sides by 3:

,

the correct choice.

Example Question #281 : Algebra

Find the x-intercept of the following equation

Possible Answers:

Correct answer:

Explanation:

Find the x-intercept of the following equation

The x-intercept is the location where a line crosses the x-axis.

This occurs when y=0.

To find the x-intercept, plug in 0 for y and solve.

Thus, our answer is

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