Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.

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

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