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

Question

leonid [27]

3 years ago

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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. 2003-10-03-00-00_files/i0060000.jpg D. y = –2x – 6

Mathematics

1 answer:

Doss [256] · Answer 1 · 2022-01-15T07:52:16+03:00

Answer:

The answer is A) 2x + y = 6

Step-by-step explanation:

Since the first line has a slope of -2, we know that the second does as well. We know this because parallel lines have the same slope. Now we can use that slope along with the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -2(x - 2)

y - 2 = -2x + 4

y = -2x + 6

In this case, to find an equation that is similar, we could put it into standard for.

y = -2x + 6

2x + y = 6

This is answer A