Finding Formulas of Graphs
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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)
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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.
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 / ...
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