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STatiana [176]
3 years ago
11

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

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

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

         

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Step-by-step explanation:

Given equation is 2x-5y=10.

Now we need to find 3 pairs of solutions in (x,y) form for the given equation.

As 2x-5y=10 is a linear equation so we are free to pick any number for x like x=0, 5, 10

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Hence first solution is (0,-2)

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Hence final answer is (0,-2), (5,0) and (10,2).

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