# Finding slope and intercept of a line, and solving equations

1. Find the slope and intercept for the line 2y-x-4=0

2. Find the slope and intercept for the line 6/9y+2/3x-5=0

3. For the line y= 3x-3 find a line parallel to it that passes through the point (-1,0)

4. For the line y= 2x+2 find a line parallel to it that passes through the points (2,0) (4,4)

5. For the set of points (1,5) and (3,9) find the slope, intercept, and write the equation

6. Solve the equation x squared+4x-12=0 by factoring

7. Solve the equation 4xsquared-25x+36=0 by factoring

8. Solve the equation 4xsquared-2x=0 by factoring

9. Solve the equation 3xsquared-5x-2=0 by using the quadratic equation (DO NOT FACTOR)

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#### Solution Preview

Please see the solutions in the attached Word document.

1. Find the slope and intercept for the line 2y-x-4=0

To find the slope and intercept of a line, first put the function into the form:

When this is done, m is the slope and b is the intercept. Now put your line into that form.

Now that this is in the same form as the equation above, it's easy to see that:

Slope =

Intercept =

2. Find the slope and intercept for the line 6/9y+2/3x-5=0

As in problem 1, just rearrange the equation into the form . The slope is and the intercept is .

From this you can see that:

Slope =

Intercept =

3. For ...

#### Solution Summary

There are nine algebra problems in this solution. The first two show in detail how to find the slope and intercept of a line. The others solve the given equation for x.