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# Algebra - Diverse Function Problem

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1. Find the slope, if it exists, of the line containing the pair of points (-2, -10) and (-13, -12). The slope m = ? Simplify your answer type an integer or a fraction, type N if the slope is undefined.

2 Use the intercepts to graph the equation x - 5 = y ...

[See the attached Question File.]

##### Solution Summary

The diverse functions of slopes are provided. The intercepts to graph the equations are determined. Step-by-step solutions are provided neatly for all the problems using graphs.

##### Solution Preview

The solution file is attached.

Find the slope, if it exists, of the line containing the pair of points (-2, -10) and (-13, -12)
The slope m = ? Simplify your answer type an integer or a fraction, type N if the slope is undefined.

Slope = (y2 - y1)/(x2 - x1) = (-12 + 10)/(-13 + 2) = -2/-11 = 2/11

Use the intercepts to graph the equation x - 5 = y
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y = x - 5
When y = 0, x = 5  The x-intercept is (5, 0)
When x = 0, y = -5  The y-intercept is (0, -5)
Graph:

Find an equation of the line having the given slope and containing the given point
m = 6, (9,2) The equation of the line is y = ? Simplify your answer, use integers or fractions for any numbers in the expression.
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The line is y - y1 = m(x - x1)
 y - 2 = 6(x - 9)  y = 6x - 52

Find an equation of the line containing the given pair of points (-5,-7) and ...

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