# Simplifying expressions and linear equations

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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## SOLUTION This solution is **FREE** courtesy of BrainMass!

See attached

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:

Â© BrainMass Inc. brainmass.com December 24, 2021, 7:28 pm ad1c9bdddf>https://brainmass.com/math/linear-algebra/simplifying-expressions-linear-equations-192298