All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #151 : Geometry
Find coordinates for the midpoint of the line segment above.
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 .
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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?
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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