SolutionThe coordinates of the first point are since the x-coordinate is and (−4, 0), −4 the y-coordinate of every point on the x-axis is 0. For the second point, the mid-point of the line segment is halfway between the endpoints and (2, 9) (2, 0). Thus, the midpoint has x-coordinate 2 and y-coordinate

\(\frac{9}{2}\) the number halfway between 9 and 0. Based on the coordinates (−4, 0) and \((2, \frac{9}{2})\), the slope of line k is

\(\frac{9}{2}- 0 / 2 - (- 4 )\)

\(=\frac{9}{2}/6\)\(=\frac{3}{4}\)

_________________

Get the 2 FREE GREPrepclub Tests