Question 22
Coordinate GeometryA line L, passing through the point (6, −13) is parallel to the line which passes through (7, 4) and (−3, 9). Find the equation of the line, L.
- A.y = ½x − 10
- B.y = −½x + 10
- C.y = −½x − 10
- D.y = ½x + 10
Show the answer and explanation
Answer: C (y = −½x − 10)
Explanation
Gradient = (9 − 4)/(−3 − 7) = −½. Then y + 13 = −½(x − 6), so y = −½x + 3 − 13 = −½x − 10.