ISEE Middle Level Math : How to find a line on a coordinate plane

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #1 : How To Find A Line On A Coordinate Plane

Give the slope of the line that passes through  and .

Possible Answers:

Correct answer:

Explanation:

Use the slope formula, substituting :

Example Question #2 : How To Find A Line On A Coordinate Plane

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

Possible Answers:

Correct answer:

Explanation:

We can use the slope formula:

 

Example Question #3 : How To Find A Line On A Coordinate Plane

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

Possible Answers:

Correct answer:

Explanation:

We can use the slope formula:

 

Example Question #4 : How To Find A Line On A Coordinate Plane

Find the slope of the line that passes through coordinates  and .

Possible Answers:

 

Correct answer:

 

Explanation:

The formula for slope is: 

In this particular question our values are given as follows.

Substituting the above values into the formula for slope we get,

.

 

Example Question #4 : How To Find A Line On A Coordinate Plane

Billy set up a ramp for his toy cars. He did this by taking a wooden plank and putting one end on top of a brick that was 3 inches high. He then put the other end on top of a box that was 9 inches high. The bricks were 18 inches apart. What is the slope of the plank?

Possible Answers:

Correct answer:

Explanation:

The value of the slope (m) is rise over run, and can be calculated with the formula below:

The coordinates of the first end of the plank would be (0,3), given that this is the starting point of the plank (so x would be 0), and y would be 3 since the brick is 3 inches tall. 

The coordinates of the second end of the plank would be (18,9) since the plank is 18 inches long (so x would be 18) and y would be 9 since the box was 9 inches tall at the other end. 

From this information we know that we can assign the following coordinates for the equation:

 and 

Below is the solution we would get from plugging this information into the equation for slope:

This reduces to 

 

Example Question #5 : How To Find A Line On A Coordinate Plane

What is the slope of the line depicted by the graph?

Screen shot 2016 02 10 at 9.35.05 am

Possible Answers:

Correct answer:

Explanation:

Looking at the graph, it is seen that the line passes through the points (-8,-5) and (8,5).

Screen shot 2016 02 10 at 9.35.05 am

The slope of a line through the points  and  can be found by setting 

:

in the slope formula:

 

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