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Nineteen Algebra Questions

See attached file for full problem description.

Find the slope and y-intercept:
2x - 3y = 6

Write the equation of the line with given slope and y-intercept. Then graph the line:
slope = -2, y-intercept = (0, 4)
slope = 5, y-intercept = (0, -2)
slope = -3/4, y-intercept = (0, 8)

Match the graph with the appropriate equation:
(4 problems)

Solve the word problem:
(see attachment)

Find the slope of a line perpendicular to the line that goes through the following points:
(0, 5) and (-3, -4)

Use the concept of slope to determine if the given figure is a parallelogram or a rectangle:
(see attachment)

Determine whether the lines are perpendicular:
the line through (2, 3) and (11, 6) and the line through (2, 3) and (-3, 18)

Write the equation of the line that passes through the given points or satisfies the given conditions. Give your results in slope-intercept form.
(0, 5) and m = -3/5
(-1, 3) and (4, -2)
(2, -3) and (2, 4)
y-intercept (0, -3) and parallel to y = (2/3)x + 1
y-intercept (0, 2) and perpendicular to 2x - 3y = 6

Word problem:
(see attachment)

If f(x) = x^2 + 3x, find f(-1)

Attachments

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