Answer:
d = 12c-12a+b
Step-by-step explanation:
The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:
m = y2-y1/x2-x1
Given the coordinates (a,b) and (c,d) and slope m = 12
Substitute into the formula as shown:
m = d-b/c-a
12 = d-b/c-a
Make d the subject of the formula:
12 = d-b/c-a
cross multiply
12(c-a) = d-b
12c-12a = d-b
add b to both sides
12c-12a + b = d-b+b
12c-12a + b = d
Hence d = 12c-12a+b
