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

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.

To find the slope of the line that passes through these two coordinate points, apply the formula:

Thus the correct answer is:

To find the slope of the line that passes through these two coordinate points, apply the formula:

Thus the correct answer is:

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:

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 .

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.

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 .

Since, is perpendicular to the points must cross at , because it is the only coordinate point that both lines pass through.

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.

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 .

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 .