ISEE Lower Level Quantitative : How to find a line on a coordinate plane

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #151 : Geometry

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Find coordinates for the midpoint of the line segment above. 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of this line segment, you could apply the midpoint formula. However, most students preparing for this exam will not learn the midpoint formula for several years. Therefore, the most effective way to find the midpoint is to find the difference between the two end points'  values, and then divide the difference in half to find the middle  coordinate.

Since, the difference between  and  is 

 .

Thus, the midpoint is  increments away from each of the points. By counting  increments from either point, you'll land on the midpoint coordinate of .

Example Question #11 : How To Find A Line On A Coordinate Plane

Find the equation of a line that has the steepest slope? 

Possible Answers:

Correct answer:

Explanation:

To find which equation of a line has the steepest slope, apply the formula: , where  represents the slope of the line and  represents the  intercept.

Also, note that , meaning the change in the  value, over the change in the  value. The greater the absolute value m value of an equation is the steeper the slope of the line is.

Therefore find the largest absolute value m and that will be the correct answer for this problem.

Thus, the correct answer is .

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