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Finding Formulas of Graphs

Find the equation for each of the following items below:

a. A line that passes through (6,2) and has a slope of 2.

b. A line that passes though the points (2,4) and (8,16)

c. A line that passes through (7,3) and has a slope of -1.

d. A line that passes through (1, 1) and is perpendicular to the line 3x+4Y=12.

e. A circle with a radius of 9 and a midpoint at (3,3)

Solution Preview

a. A line that passes through (6,2) and has a slope of 2.

If the slope of the line is 2, you can write y = 2x + b. By plugging in the point you can solve for b:

2 = 2 * 6 + b
2 = 12 + b
-10 = b

y = 2x - 10

b. A line that passes though the points (2,4) and (8,16)

First you need to find the slope. Slope is rise (change in y) over run (change in x)

Slope = rise / ...

Solution Summary

This solution explains how to find equations of a line given the following information:

1) The slope and a point on the line.

2) Two points on a line.

3) A perpindicular line and a point on the line.

4) The radius and midpoint of a circle.

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