Math CentralQuandaries & Queries


Question from Sally:

The equation of the line in point-slope form for the line passing through the point ( 4, -6) and parallel to the line y = -6x + 2. Describe the steps.

Hi Sally,

The point-slope form of a line is

\[y - y_1 = m ( x - x_1)\]

where $(x_1, y_1)$ is a point on the line and $m$ is its slope. The point $(4, -6)$ is on the line so all you need is its slope. The line is parallel to $y = -6x + 2$ so it has he same slope as the line $y = 6x + 2.$ what is the slope of this line?


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