Question

Use the slope formula to find the missing coordinate.....

m=-7/2, T(13,2), W(____,5)
will you show the step used for this?

Answer 1

Answer: 85 / 7

Step-by-step explanation

1) Slope formula

slope, m = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1)

m = (y2 - y1) / (x2 - x1)

2) Data:

m = - 7 / 2

x1 = 13
y1 = 2

x2 = ?
y2 = 5

3) Replace the data in the formula and solve for the unknown:

5 - 2 7
---------- = - ----- => x2 - 13 = - 2 * (5 - 2) / 7
x2 - 13 2

=> x2 = 13 - 2 (5 -2) / 7 = 13 - 2(3) / 7 = 13 - 6/7 = 85/7

Answer: 85 / 7