A line passes through points (2,5) and (5, 14). What is the slope of this line?

We know that:

Slope of a line = change in y coordinate / change in x coordinate

We are given:

First point = (2,5)

Second point = (5, 14)

Calculating the change in y coordinate:

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

Calculating the change in x coordinate:

Δx = second x - first x

Δx = 5 - 2

Δx = 3

Slope of the line:

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

5x=25

Divide 5 from both sides

5x/5=25/5

x=5