Complete the following:
1. Find the slope of the line containing the given pair of points. If the slope is undefined, state so.
(1, 2) and (9, 12)
4/3
4/5
5/4
3/4
2. Find the intercepts for the equation.
2x + y = -6
(-3, 0), (0, -6)
(-6, 0), (6, 0)
(-6, 6), (-6, -6)
(0, -6), (0, 6)
3. Determine the x- and y-intercepts of the given equation. Show your work. Then plot the intercepts, and graph the line;
y = 1/6 x
4. Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line;
9y - 3x = -6
5. Select the line that has the given slope and y-intercept.
Slope -5; y-intercept (0, 5)
6. Find the slope and the y-intercept of the line.
y - 7 = 8
0; (0, 15)
1; (0, 0)
Undefined; (0, 15)
0; (0, 1)
7. Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line;
y= 3/2x +3
8. Find an equation in point-slope form of the line having the specified slope and containing the point indicated.
m = 3; (4, -9)
y + 9 = 3(x - 4)
y - 9 = 3(x + 4)
x - 9 = -3(y + 4)
x + 9 = -3(y - 4)
9. Find an equation of the line meeting the specified conditions. Write your final answer in slope-intercept form.
Containing the point (0, 6) and parallel to y = 4x - 6
y = 4x - 6
y = -4x + 6
y = -1/4x + 6
y = 4x + 6
10. Graph the line;
y - 5 = 1/2(x + 4)
11. Solve the problem.
In 1995 the United States recovered 23% of its municipal wastes through recycling, up from 17% in 1990. Using an equation for the line whose graph depicts this data, predict the percentage recycled in 2004.
31.9%
35.5%
33.8%
30.2%
12. Find an equation of the line containing the given pair of points. Write your final answer in slope-intercept form.
(5, 0) and (1, -3)
y = 5/4x - 15/4
y = -3/4x - 15/4
y = -5/4x - 15/4
y = 3/4x - 15/4
13. Write the equation of the line on the graph in slope-intercept form.
y = -2x - 5
y = 2x - 5
y = -2x + 5
y = 2x + 5
14. Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this.
9x + 5y = 5
9x + 5y = 14
15. Solve and Graph 4x + 5y = 20
Slope 7/8; y-intercept (0, 4)
2.1x- 0.9y=15
-1.4x + 0.6y = 10