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Coordinate system to find slope of a line

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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.

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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