All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1 : How To Find A Line On A Coordinate Plane
Which equation of a line is parallel to line segment ?
In order for the equation to represent a line that is parallel to the line that is shown, the equation must have the same slope as line segment .
Since, line segment has a slope of , the correct equation is:
Example Question #1 : How To Find A Line On A Coordinate Plane
The points in the above line segment are apart of which of the following linear equations?
The above line segment is a horizontal line that passes through the axis at Since this line is horizontal, it does not have a slope. Therefore, is the correct answer.
Example Question #1 : How To Find A Line On A Coordinate Plane
Which of the following linear equations is perpendicular to the line segment shown above?
Since the line segment is horizontal, the equation that is perpendicular to the segment must run vertically. The only linear equation that runs vertically (perpendicular to ) is .
Example Question #2 : How To Find A Line On A Coordinate Plane
At what coordinate point does the line intersect with the line segment shown above?
Since, is perpendicular to the points must cross at , because it is the only coordinate point that both lines pass through.
Example Question #3 : How To Find A Line On A Coordinate Plane
At which coordinate point does this line segment cross the -axis?
Keep in mind that the values in the coordinate points are , thus the point is the point at which the line segment passes through the axis.
Example Question #6 : How To Find A Line On A Coordinate Plane
Find the equation that represents a line that has a intercept of .
To identify the correct equation, apply the formula , where represents the slope of the line and the intercept.
Thus, the line that passes through the axis at is
Example Question #7 : How To Find A Line On A Coordinate Plane
Which of the following equations of a line 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 equation that has the largest absolute value of m is the equation that has the steepest slope.
Thus, the equation has the steepest slope, because in order to go from one point to the next move a vertical distance of and a horizontal distance of which is larger than any of the other choices.
Example Question #1 : How To Find A Line On A Coordinate Plane
Find the slope of the line that passes through the coordinate points and .
To find the slope of the line that passes through these two coordinate points, apply the formula:
Thus the correct answer is:
Example Question #9 : How To Find A Line On A Coordinate Plane
Line segment has endpoints and . What is the slope of the line segment?
To find the slope of the line that passes through these two coordinate points, apply the formula:
Thus the correct answer is:
Example Question #10 : How To Find A Line On A Coordinate Plane
Find the length of the line segment above.
To find the length of this line segment find the difference between each of the two end points values, since they have the same value.
The difference between and is .
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