Question

Line m passes through the Point (2, 1) and has a slope of -2/7. What is the equation of Line m in standard form?

7x + 2y = 11
7x + 2y = 16
2x + 7y = 11
2x +7y = 16

Answer 1

Explanation:

Slope m = -2/7

Points are (2,1)

y1 = 1 and x1 = 2

y - y1 = m(x - x1)

y -1 = -2/7(x - 2)

Multiple each term by 7

7y - 7 = -2(x - 2)

7y - 7 = -2x + 4

7y = -2x + 4 + 7

2x + 7y = 11