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# Many questions -- Substitute method, slope, graph lines.

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1. Determine the x- and y-intercepts of the given equation. Show your work. Then plot the intercepts, and graph the line.
-5x + y = 0

2. Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line
7x + 56y = 0

3. Select the line that has the given slope and y-intercept.

Slope -3; y-intercept (0, -6)

4. Find the slope and the y-intercept of the line.
y - 7 = 8

5. Find an equation in point-slope form of the line having the specified slope and containing the point indicated.

m = -8; (6, 9)

6. 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 - 6Graph the line
y - 5 = (x + 4)

7. Solve the problem.

In 1995 the United States recovered 23% of its municipal solid wastes through recycling, up from 17% in 1990. Find an equation for the line whose graph depicts this data (where x is measured in years after 1990).
Find an equation of the line containing the given pair of points. Write your final answer in slope-intercept form.

(3, -5) and (0, -9)
8. Write the equation of the line on the graph in slope-intercept form.

9. Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this.

7x - 2y = 24
5x + 4y = 28
10. Determine wheither each pair of equations represents parallel lines.
Y = -5/2x +1,
Y = 5/4x + 3
11. Graph each equation. Y = 3/2x +1
15 Solve using the substitute method.
5x + 6y = 14,
-3y + x = 7

https://brainmass.com/math/basic-algebra/many-questions-substitute-method-slope-graph-lines-276432

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