## A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x

Question

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## Answers ( )

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.