Question

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

Answer 1

The x-value of the intersection point of the lines is ( d - b)/(a-c)

Intersection of lines

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

• ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

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