The slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. 2x + y = 6 b. y = –2x + 3 c. y=1/2x +6 d. y=-2x-6

For this case we have that an equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cutoff point with the y axis

They give us the following information:

Then the line is:

They ask us to find a parallel line. By definition, if two lines are parallel then they have the same slope. Thus, the line sought is of the form:

We look for the cut point "b" substituting the point where the line passes:

Finally, the line is:

Option A

the barter

x=6 and x=3

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