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# Algebra_Graphs and Functions

(See attached file for full problem description)

Questions are on graphs and functions. Eight different questions are answered. Most of them involve writing functions in slope intercept form.

I have answered the following questions with great detail. Please see the attached pdf file for the question description.

2, 6, 12, 24, 34, 36, 38, 49

#### Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here.
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Hint:

Always remember, if you have written the equation of a line as y = mx + c, the sign of the slope 'm' and the intercept 'c' gives you how the line is oriented.

If m is positive, line is slanted to the right
If m is negative, line is slanted to the left
If c is positive, the line will meet the y-axis in the positive side (+ y axis)
If c is negative, the line will meet the y-axis in the negative side (- y axis)

(2)

4x + 3y = 12

Lets rewrite this equation in the form of y = mx + c

3y = 12 - 4x
y = 4 - 4/3 x

y = -4/3 x + 4, negative slope = -4/3, positive intercept=4