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Linear Equations and Functions

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1. Find the equation of a line that contains the point (3, -2) and has an undefined slope.
2. Find the equation of the line perpendicular to the line 2x + 3y =4 through the point (2, -6). Write the answer in standard form.
3. Graph the following: y ≥ x + 1
4. Let f(x) = 2x-3 and g(x) = . Evaluate the following:
f(1) + g(-4)

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Solution Summary

We solve some problems involving linear equations and functions.

Solution Preview

1. The line x = 3 passes through the point (3, -2) and has undefined slope.

2. First we rewrite the equation of the first line in standard form to determine its slope. We have

2x + 3y = 4
3y = -2x + 4
y = ...

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