Question

Line p passes through Point (-4, 1) and has a slope of 2/5. What is the equation of Line p in standard form?

2x - 5y = 22
2x - 5y = -13
5x - 2y =13
5x -2y = -22

Answer 1

2x - 5y = -13

Explanation:

The equation of a straight line can be written as

(y - y1) = m(x - x1), where the coordinates are (x1,y1) and gradient is m.

Hence by applying this formula, we get:

y - 1 = 2/5 (x + 4)

5y - 5 = 2(x + 4) (Multiply both sides by 5)

5y - 5 = 2x + 8 (Expand the Right Hand Side)

5y - 2x = 13 (Bring the variables to one side)

2x - 5y = -13 (Multiply both sides by -1)

Hence Answer is 2x - 5y = -13