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Coordinate system to find slope of a line

See attached file for full problem description.

1. Find the slope of the line passing through the points (-8, -3) and (-2, 2).

A) B) C) D)

2. Give the coordinates of the point graphed below.

A) (4, 0) B) (-4, 0) C) (0, 4) D) (0, -4)

3. Find the slope of the graphed line.

A) Undefined B) -2 C) 0 D) 1

4. Find the slope of the line passing through the points (4, 0) and (4, 5).

A) Undefined B) 0 C) 1 D) 5

5. Find the slope of the line passing through the points (-9, -4) and (0, -4).

A) Undefined B) 0 C) 1 D) 9

6. Graph using the intercept method: 5x - y = 5.

7. Graph using the intercept method: x + 3y = 6.

8. Graph y = 3x.

9. Determine which two equations represent parallel lines.
(a) y = x + 4
(b) y = x - 7
(c) y = 2x + 8 (d) y = 2x - 4

A) (c) and (d) B) (a) and (b) C) (b) and (c) D) (a) and (d)

10. Write the equation of the line with slope -2 and y-intercept (0, 0).

11. Find the y-intercept.
-x + 3y = 15

A) (5, 0) B) (0, -15) C) (0, 5) D) (-15, 0)

12. Write the equation of the line passing through (4, 4) and (4, 2).

A) y = 4 B) y = -2x C) x = 4 D) y = x + 4

13. Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = -3x + 1.

A) y = 3x + 5 B) y = - x + 5 C) y = x + 5 D) y = -3x + 5

14. Given f(x) = 5x2 - 3x + 1, find f(-2).

A) 15 B) 27 C) -13 D) -25

15. Rewrite the equation 2x - 3y = -6 as a function of x

A)
C)

B)
D)

16. Graph the inequality.
y  -4

17. Find the slope of any line parallel to the line through points (15, 1) and (4, 2).

18. Rewrite the equation 4x - 6y = -30 as a function of x.

19. Write the equation of the line passing through (3, -7) and (-6, -7).

20. Write the equation of the line that passes through point (-2, 3) with a slope of -4.

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Solution Summary

This shows how to work with the coordinate system, including coordinates, slope, and graphing.

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