Question

What is the equation that passes through the point (6/5, -19/5) and is parallel to the line that passes through the origin and point (-2, -12)

Answer 1

y = 6x - 11

Explanation:

The fact that the line passes through the origin makes it unusually easy to find the slope of this line: as we move from the origin to (-2, -12), x decreases by 2 and y decreases by 12. Thus, the slope of this line is m = rise / run = -12/(-2), or m = 6.

Using the point-slope formula for the equation of a straight line, we get:

y - k = m(x - h), or y + 19/5 = 6(x - 6/5).

Alternatively, y = 6x - 36/5 - 19/5, or y = 6x - 55/5, or y = 6x - 11