Pre-Algebra : Graphing Lines

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3

Example Question #31 :Graphing

What is the slope of the line with the equation?

Possible Answers:

Correct answer:

Explanation:

In the standard form equation of a line,, the slope is represented by the variable.

In this case the linehas a slope of.

Therefore the answer is.

Example Question #2 :Graphing Lines

What is the slope of the line that contains the points

and

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which is

We must then properly assign the points to the equation asand.

In this case we will makeourandour.

Plugging the points into the equation yields

Perform the math to arrive at

The answer is.

Example Question #2 :Graphing Lines

What is the slope of the line?

Possible Answers:

Correct answer:

Explanation:

In the standard form of a linethe slope is represented by the variable.

In this case the linehas a slope of.

The answer is.

Example Question #4 :Graphing Lines

The equation of a line is.

What are the slope and the y-intercept?

Possible Answers:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Correct answer:

Slope:

y-intercept:

Explanation:

The equation of the line is written in slope-intercept form,, whereis the slope andis the y-intercept. In this example, the y-intercept is a negative number.

Example Question #33 :Graphing

What is the y-intercept of the line?

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the point at which the line intersects the y-axis.

It does this at.

We plugin forin our equation,, to give us.

Anything multiplied byis, so.

Our coordinates for the y-intercept are.

Example Question #3 :Graphing Lines

What is the slope of the line?

Possible Answers:

Correct answer:

Explanation:

In the slope-intercept form of a line,, the slope is represented by the variable.

In this case the line

has a slope of.

The answer is.

Example Question #2 :Graphing Lines

What is the y-intercept of the line?

Possible Answers:

Correct answer:

Explanation:

In the slope-intercept form of a line,, the y-intercept is when the line intersects the y-axis.

It does this at.

So we plugin forin our equation

to give us

Anything multiplied byisso

Our coordinates for the y-intercept are.

Example Question #2 :Graphing Lines

What is the slope of a line that is parallel to?

Possible Answers:

Correct answer:

Explanation:

Parallel lines have the same slope.

If an equation is in slope-intercept form,, we take thefrom our equation and set it equal to the slope of our parallel line.

In this case.

The slope of our parallel line is.

Example Question #9 :Graphing Lines

What is the slope of the line that contains the points,and?

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like

We must then properly assign the points to the equation asand.

In this case we will makeourandour.

Plugging the points into the equation yields

Perform the math to arrive at

The answer is.

Example Question #10 :Graphing Lines

What is the slope of the line that contains the points,and?

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like

We must then properly assign the points to the equation asand.

In this case we will makeour, andour.

Plugging the points into the equation yields

Perform the math to arrive at

The answer is.

← Previous 1 3
Learning Tools by Varsity Tutors