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| Math Central | Quandaries & Queries |
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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?
Penny
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