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Question

Line v has an equation of y=–1/4x–6.Line w is parallel to line v and passes through (–6,6).What is the equation of line w? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

y = -(1/4)x + b plug in the point to find "b"= y intercept

6= -(1/4)(-6) + b

b = 6 - 3/2 = 9/2

the parallel line w is

y = -.25x +4.5

or

y = -(1/4)x + 9/2

Answer 2

Parallel lines have the same slope. What is the slope of the line v?

What is the slope of line w?

Use point-slope form to determine equationof line w.