Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).



The slope of y = 4x – 2 is ___.

The slope of a line parallel to y = 4x – 2 is ___.

The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = _______.

1 answer

The slope of y = 4x – 2 is 4.

The slope of a line parallel to y = 4x – 2 is also 4.

Using the point-slope form of the equation of a line, the equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is:

y - 5 = 4(x - (-1))

y - 5 = 4(x + 1)

y - 5 = 4x + 4

y = 4x + 9
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