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Graphing Linear Equations an Geometry of Coordinate Points

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Please see the attached file for the fully formatted problems.

Write the equation of the line with given slope and y-intercept. Then graph each line using
the slope and y-intercept

1. Slope: -2; y-intercept: (0, 4)

2. Slope: 5; y-intercept: (0, -2)

3. Slope: ; y-intercept: (0, 8)

4. Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).

5. Geometry. Floor plans for a building have the four corners of a room located at the
points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the
points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).

6. Geometry. For the floor plans given in exercise 5, determine whether the side
through the points (2, 3) and (11, 6) is perpendicular to the side through the points
(2, 3) and (-3, 18).

Write the equation of the line passing through each of the given points with the indicated
slope. Give your results in slope-intercept form, where possible.

7. (0, -4), m = - (rewrite to standard form)

8. (-1, 3) and (4, -2)

9. (2, -3) and (2, 4).

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Solution Summary

Graphing linear equations an geometry of coordinate points are investigated. The solution is detailed and well presented.

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