Question

Which linear equation represents a line that passes through the point (-3,-8)? a) y =2x - 2 b) y =2x - 8 c) y = 2x - 13 d) y = 2x - 14

Answer 1

(a) y = 2x - 8

Explanation:

to determine which equation represents a line passing through (- 3, - 8 )

substitute x = - 3 into the right side of the equation and if the value of y obtained is equal to the y- coordinate of the point , - 8, then it is the equation.

(a)

y = 2x - 2 = 2(- 3) - 2 = - 6 - 2 = - 8 ← true

(b)

y = 2x - 8 = 2(- 3) - 8 = - 6 - 8 = - 14 ≠ - 8

(c)

y = 2x - 13 = 2(- 3) - 13 = - 6 - 13 = - 19 ≠ - 8

(d)

y = 2x - 14 = 2(- 3) - 14 = - 6 - 14 = - 20 ≠ - 8

The equation that represents the line passing through (- 3, - 8 ) is

(a) y = 2x - 2