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bixtya [17]
3 years ago
7

Write the slope intercept form of the equation of the line described

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

We have the following equation:

y = 7x-4

So the slope is m = 7

By definition, if two lines are parallel then their slopes are equal, so a parallel line would be of the form:

y = 7x + b

We substitute the given point and find "b":

-4 = 7 (-1) + b\\-4 = -7 + b\\-4 + 7 = b\\b = 3

Finally, the equation is:

y = 7x + 3

Answer:

y = 7x + 3

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