Does the Slope Match the Direction of This Line? Yes, because the slope is undefined and the line is vertical.
Practice makes perfect
We want to use the Slope Formula to find the slope of the line that passes through the given points.
m = y_2-y_1/x_2-x_1
In the above formula, m represents the slope, and (x_1,y_1) and (x_2,y_2) two points on the line.
Calculating the Slope
In this exercise, we are given the points (- 5,0.124) and (- 5,- 0.584). Note that when substituting these values into the Slope Formula, it does not matter which point we choose to use as ( x_1, y_1) or ( x_2, y_2).
m=0.124-( - 0.584)/- 5-( - 5) or m=- 0.584- 0.124/- 5-( - 5)
Both will give the same result. Here, we will use the points in the given order and solve for the slope m.
Notice that the denominator equals zero. Since we cannot divide by zero, we conclude that the slope that passes through the given points is undefined. The graph of our line should be vertical.
Check by Graphing
Finally, let's plot the given points and connect them with a line to check if the direction of the slope matches what we calculated above.
Observing the graph, we can confirm that as y moves in the positive direction, x does not move in the positive or negative direction.
