What is the equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8

Solution:

The slope intercept form is

y = mx + b

Where m is the slope

b is the y-intercept

We know that parallel lines have same slope

If y = 1/2 x + 8 is parallel then the slope is 1/2

Here

y = 1/2 x + b

Substituting the point (-2, 2)

2 = 1/2 (-2) + b

2 = -1 + b

b = 2 + 1

b = 3

So the equation is

y = 1/2 x + 3

Therefore, the equation is y = 1/2 x + 3.

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what is the equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8

Summary:

The equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8 is y = 1/2 x + 3.