Answer:
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
