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 

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:

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 .

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 .

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 .

Two negative points will always be found in Quadrant III.

Although coordinate point   has the largest  value in comparison to the other answer choices--it is the closest point to the -axis becaues of the points  value.

Compare the absolute value of each of the coordinate points  values. Since, the absolute value of point  is the lowest, the point has the shortest distance to the -axis.

 

Since the -axis runs vertically, the point that has the  coordinate with the lowest absolute value will be closest to the -axis. Therefore, coordinate point  has the shortest distance to the -axis, because the point is only a distance of  away from the -axis. Every other coordinate point has an absolute distance of  or more.