Question

What is the slope of the line through (-2,5) and (4,9)

Answer 1

(-2, 5) (4, 9)

Y2 - Y1

-----------

X2 - X1

9-5

------- = 4/6

4+2

4/6 simplifies to 2/3

Slope: 2/3

Answer 2

2/3

Explanation:

slope = run/rise

rise = vertical distance = difference in y-coordinates

run = horizontal distance = difference in x-coordinates

Find the rise = difference in the y-coordinates: 5 - 9 = -4

Find the run = difference in the x-coordinates in the same order: -2 - 4 = -6

Divide the rise by the run: slope = -4/-6

Reduce the fraction: slope = 2/3