Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #25 : How To Find Slope Of A Line

The line given by the equation  has a slope of ______ and a y-intercept of ______.

Possible Answers:

Correct answer:

Explanation:

The equation  can be rearranged to slope-intercept form to give:

From here, it can be deduced that the slope is  and the y-intercept is .

Example Question #1 : Slope

What is the slope of the line depicted by this equation?

Possible Answers:

Correct answer:

Explanation:

This equation is written in standard form, that is, where the slope is equal to .

In this instance and

This question can also be solved by converting the slope-intercept form: .

Example Question #26 : How To Find Slope Of A Line

What is the slope of a line if the points on the line are  and ?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find slope.

The values are interchangable as long as they are in the correct order.

The formulas yield similar slopes.   

The correct answer is .

Example Question #21 : How To Find Slope Of A Line

Fnd the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

To find the slope, we need to get the equation in the form of  to identify the value of the slope, .

Add  to both sides.

Divide both sides by 7.

.

Now we can see that our slope is the coefficient in front of the , which is just 1.

Example Question #3712 : Algebra 1

Find the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

Remember that the equation of a line is given as , where  is the slope and  is the y intercept.

To get out equation in that form so we can identify what our  is, we need to isolate  on one side and all other terms on the other side.

Now, to get just , divide both sides by 3.

.

Now, we can easily identify our slope as .

Example Question #3721 : Algebra 1

Given these two points, find the slope. 

Possible Answers:

Correct answer:

Explanation:

The slope is defined as the slant measurement of a line, quantitatively the amount of units that one must "rise", over the amout of units one must "run," or move horizontally across the graph. 

 are the points given. We must find the slope of the line that would pass through both of these points.

To do so, we use the formula: 

.

For these two points, our formula would look like this: 

.

Thus  is our slope. 

Example Question #431 : Functions And Lines

What is the slope of the line that passes through these two points? 

Possible Answers:

Correct answer:

Explanation:

The slope is defined as the slant measurement of a line, quantitatively the amount of units that one must "rise", over the amout of units one must "run," or move horizontally across the graph.  are the points given.

We must find the slope of the line that would pass through both of these points.

To do so, we use the formula: 

.

For these two points, our formula would look like this: 

.

Thus  is our slope. 

Example Question #192 : Equations Of Lines

Find the slope of .

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in slope intercept form.

Where  represents the slope of the line and  represents the -intercept.

The slope is 

.

Example Question #193 : Equations Of Lines

Given the points  and .

Find the slope of the line.

Possible Answers:

Correct answer:

Explanation:

Use the given points and plug them into slope formula:

Remember points are written in the following format:

 Substitute.

Simplify:

 

Example Question #194 : Equations Of Lines

What is the slope of the line between points and ?

Possible Answers:

Correct answer:

Explanation:

The question asks for the slope of the line between two points.

*Always remember what the question is asking.

Using coordinates

,

and plugging them into the slope formula we get the following.

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