Graphing Linear Equations Assignment #2
Write the ordered pairs that correspond to the points labeled A, B, C, and D in the coordinate plane.
1.
Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV.
2. (7, -10)
3. (-4, -8)
Decide whether the given ordered pair is a solution of the equation.
4. y - x = 5, (2, 7)
5. y + 4 = -2x, (-3, 10)
6. 3y + 12y = -4, (1/5, - 32/15)
Find the x-intercept.
7. 4x + y = 3
Find the y-intercept.
8. 2y + x = 8
9. 17 x + 4y + 10 = 0
Sketch the line that has the given intercepts.
10. x-intercept: 1
y-intercept: 2
Find the slope of the line passing through the points.
11. (3, 4), (1, 3)
12. (-5, 5 ), (-7 - 6)
Find the slope of the line.
13.
14.
15. In 1999, a company had a profit of $173,000. In 2005, the profit was $206,000 . If the profit increased by the same amount each year, find the rate of change of the company's profit in dollars per year.
Find the slope and y-intercept.
16. y = 2x + 5
17. y = 5 - 3x
Decide whether the graphs of the two functions are parallel lines.
18. f(x) = 2x + 1; f(x) = 2x - 8
19. f(x) = 4x - 3; f(x) = - 4x + 3
20. f(x) = -1/10 (-15 - 3x), f(x) = -1/10 (-30x -24)
Use a table of values to graph the equation.
21. 3x + 2y = 7
22. Your school biology club is organizing a pancake breakfast to raise $400 for a trip to an aquarium. You decide to charge $2 for each child and $5 for each adult. Write an equation to show the relationship between the number of people and the amount of money raised.
Find the value of y so that the line passing through the two points has the given slope.
23. (6, y), (3/2, 9/5), m = 2/3
24. In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000. Find the average rate of change of the chain's profit in dollars per year.
Write the equation in slope-intercept form. Then graph the equation.
25. 18y +2x - 9 = 0