Solutions to Problem Set 6

Math 101-06

9-15-2017

[Lines]

1. Find the slope of the line passing through the points and .

2. Find the slope of the line passing through the points and .

3. Find the slope and the y-intercept of the line

The slope is 8 and the y-intercept is -5.

4. Find an equation for the line with slope 10 and y-intercept -4.

5. Find the slope and the y-intercept of the line

Solve for y:

The slope is and the y-intercept is .

6. Find the slope and the y-intercept of the line

Solve for y:

The slope is and the y-intercept is -2.

7. Find the slope and the y-intercept of the line

The line is vertical, so its slope is undefined and it has no y-intercept.

8. For the following line, find the x-intercept and the y-intercept, and use them to sketch the graph of the line.

Setting gives , so is the x-intercept.

Setting gives , so is the y-intercept.

9. For the following line, find the x-intercept and the y-intercept, and use them to sketch the graph of the line.

Setting gives , so is the x-intercept.

Setting gives , so is the y-intercept.

10. For the following line, find the x-intercept and the y-intercept, and use them to sketch the graph of the line.

The line is horizontal, so there is no x-intercept, and is the y-intercept.

11. Find the equation of the line which passes through the points and .

The slope is

The line is

12. Find the equation of the line which passes through the points and .

The slope is

The line is

Those who reach greatness on earth reach it through concentration. - The Upanishads

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