will give brainliest! if the slope of the line through the points (a,14) and (8,a) is 1/2, what is the value of a?

a = 12

Step-by-step explanation:

Formula for calculating the slope of a line is expressed as;

m = ∆y/∆x

m = y2-y1/x2-x1

Given

m = 1/2

x1 = a

y1 = 14

x2 = 8

y2 = a

Required.

Value of a

Substitute the given parameters into the formula

1/2 = a-14/8-a

Cross multiply

1(8-a) = 2(a-14)

8-a = 2a-28

Collect like terms

-a-2a = -28-8

-3a = -36

a = -36/-3

a = 12

Hence the value of a is 12