Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
