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The Equation of a Line Given a Point and Slope

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Please answer the following two questions:

1. Find the equation of the line through the point (-1, 3), having a slope equal to 3/7.

2. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.

Make sure to show all of your work.

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Solution Summary

This solution is comprised of a step-wise response which shows how to determine the equation of the line.

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1. The standard line equation is y = mx +b, where m is the slope, so m = 3/7.
y = 3/7x + b. Then the point (-1, 3) is on the line, ...

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