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Test 2

MAT 190

Summer 2008

Name ________________________

Simplify all answers and show your work! You may use MathGV as a tool.

1. In the linear equation 6x + 5y = 30, what is the x-intercept? _(5, 0)_

y-intercept? __(0, 6)__

8

2. In the equation 8x – 7y = –42, what is the value of the slope?

7

3. Lines that are parallel have the same _slope__.

A

4. In the equation Ax + By = C, what is the value of the slope?

−

B

Find the equations of the lines with the given properties:

5. Passing through points

6. Passing through (3, 7) and

7. Passing through (0, 1.7)

7

(-1, 3) and (2, 5).

having a slope of

.

and having a slope of 3.5.

−

4

2x – 3y = -11

7x + 4y = 49

y = 3.5x + 1.7

8. Solve for x: 2(x + 3) – 5 = 3x + 4

9. Graph 2x + 3y = 12

x = -3

See Graph

x 3

y 2

16

−

=

10. Graph the following system of equations.

11. Solve the system of equations:

x 7

y 4

20

+

=

y

2

x

3

=

+

and find the point of intersection.

1

y

x

2

=

−

(4, -2)

3

See Graph

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