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What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)? a) y=3x-4 b)y=3 c) y=3x+7 d)y=7

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Answer:

d) y = 7

Explanation:

y = -4 is a horizontal line that passes through the y axis at the point (0, -4)

In point-slope form, the equation of this line is:

y = (0)x - 4

The slope of this line, m, is 0

The slope of a line parallel to this slope must also have a slope of 0.

Using the point-slope form and the point (3, 7):

y - 7 = 0(x - 3) put in slope-intercept form

y = 7 This is the equation of the line that is parallel to the line y = -4 and passes through the point (3, 7)

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