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

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: