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nordsb [41]
3 years ago
11

What is the equation of a line that is parallel to y=6x+7 and passes through (0,9)

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer: The equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.

Explanation:

The equation of given line is

y=6x+7

The slope intercept form of a line is,

y=mx+b

Where, m is slope and (0,b) is y intercept.

On comparing the given equation with slope intercept form we get,

m=6

The slope of the given line is 6.

Since the slope of parallel line are equal, therefore the slope of required line is 6.

The point slope form of a line.

y-y_1=m(x-x_1)

The slope of required line is 6 and it passing through the point (0,9),

y-9=6(x-0)

y=6x+9

Therefore the equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.

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