Find an equation of a line through (0, -7) and parallel to the line y=1/2x+5.

The answer to your question is y = 1/2x - 7

Step-by-step explanation:

Data

Point = (0, -7)

line = y = 1/2x + 5

Parallel line have the same slope.

Slope of the first line = 1/2

Slope of the new line = 1/2

Equation of the line

                y - y1 = m(x - x1)

Substitution

                 y + 7 = 1/2(x + 0)

Simplification

                 y + 7 = 1/2x

result

                 y = 1/2x - 7

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

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