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# Simplifying expressions and linear equations

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Simplify the expression and write the result in lowest terms

Clear the parentheses and simplify the result: -2(4x - 1) - (x - 6)

Find the slope of the line through the points (5, -1) and (0, 3).

Perform the indicated operations and simplify:

Perform the indicated operations and simplify:

Perform the indicated operations and simplify:

Perform the indicated operations and simplify:

Perform the indicated operations and simplify:

Perform the indicated operations and simplify:

Find an equation in slope-intercept form of the line through the point (-2, 4) with slope . Then draw a graph of the line.

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Simplify the expression and write the result in lowest terms

= , since |3-4|=|-1|=1 and |-3-4|=|-7|=7

Clear the parentheses and simplify the result:
-2(4x - 1) - (x - 6)
=

Find the slope of the line through the points (5, -1) and (0, 3).
Slope=

Perform the indicated operations and simplify:
=

Perform the indicated operations and simplify:
=
Perform the indicated operations and simplify:
=
Perform the indicated operations and simplify:
= (recall: and )

Perform the indicated operations and simplify:
=

Perform the indicated operations and simplify:
=

Find an equation in slope-intercept form of the line through the point (-2, 4) with slope . Then draw a graph of the line.

Equation: . Solving we find . Its graph is:

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