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Line c has an equation of y = -1/2x - 2. Parallel to line c is line d, which passes through the
point (8, -2). What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

Respuesta :

joseaaronlara

Answer:

The answer to your question is               y = -1/2x + 2    

Step-by-step explanation:

Data

Line C  y = -1/2x - 2

Line D = ?

Point = (8, -2)

Process

1.- Get the slope of line C. The slope is the coefficient of letter x.

                    y = -1/2x - 2

       slope = -1/2

2.- Get the slope of the line D. As the lines are parallels, the slope is the same.

      slope = -1/2

3.- Find the equation of line D

                   y - y1 = m(x - x1)

-Substitution

                   y + 2 = -1/2(x - 8)

-Simplification

                   y + 2 = -1/2x - 8(-1/2)

                   y + 2 = -1/2x + 4

                   y = -1/2x + 4 - 2

-Result

                    y = -1/2x + 2    

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