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kozerog [31]
3 years ago
13

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
Mathematics
2 answers:
notsponge [240]3 years ago
7 0

Answer:

D. y=-2x-6

Step-by-step explanation:

<u><em>First start with what we know....</em></u>

y = -2x + 3 (Slope Intercept Form)

<u><em>Because of this we can eliminate B.  </em></u>

<u><em>Parallel means that the lines wouldn't be touching which means they should have the same slope and the only one with the same slope is D. </em></u>

ipn [44]3 years ago
7 0

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

y = mx + b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

They give us the following information:

m = -2\\b = 3

Then the line is:

y = -2x + 3

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:

y = -2x + b

We look for the cut point "b" substituting the point where the line passes: (2,2)

2 = -2 (2) + b\\2 = -4 + b\\2 + 4 = b\\b = 6

Finally, the line is:

y = -2x + 6\\y + 2x = 6

Answer:

Option A

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