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The equation for line f can be written as y = 9 8 x − 10 . Line g includes the point(8, 1)and is parallel to line f . What is the equation of line g ?

User Rajakvk
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1 Answer

3 votes

Answer:

The equation of line g would be

y = 98x - 783

Explanation:

The equation for line f can be written as y = 98 x − 10

Recall, the slope intercept equation is written as

y = mx + c

Where m is the slope

c is the intercept.

Comparing with the giving equation,

The slope, m = 98

Line g includes the point (8, 1)and is parallel to line f .

If two lines are parallel, then they have the same slopes.

Since line g is parallel to line f,

Slope of line g = 98

From y = mx + c, considering the points (8, 1)

1 = 98×8 + c

1 = 784 + c

c = 1 - 784 = -783

The equation of line g would be

y = 98x - 783

User Brucezepplin
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