A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
Question 1 Report
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
Answer Details
The gradient of a line is the measure of its steepness, or slope. To find the gradient of the line PQ, we need to use the formula:
Gradient (m) = change in y / change in x
We can calculate the change in y by subtracting the y-coordinate of point P from the y-coordinate of point Q:
8 - 2 = 6
Similarly, we can calculate the change in x by subtracting the x-coordinate of point P from the x-coordinate of point Q:
5 - 1 = 4
Therefore, the gradient of the line PQ is:
Gradient (m) = change in y / change in x = 6 / 4 = 3/2
Therefore, the answer is option C: \(\frac{3}{2}\).
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