What is the value of p if the line that passes through (2,-4) and (p, 8) has a slope of 1/2?

Step-by-step explanation:

(2,-4) ... x1 = 2 and y1 = - 4

(p, 8) ... x2 = p and y2 = 8

slope (m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know ...

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

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) ... now multiply both sides by (p - 2)

1/2 (p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26