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Alja [10]
3 years ago
6

Write an equation of a line that passes through the point (8,4) and is parallel to the y=4x+2

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer: y=4x-28

Step-by-step explanation:

The Slope-intercept form of the equation of the line is:

y=mx+b

m: is the slope.

b: the intersection of the line with the y-axis.

The equation of the line y=4x+2 has:

m=4\\b=2

If both lines are parallel, then their slopes are equal. So the slope of the other line is:

m=4

To find "b", substitute the given point and the slope into ]y=mx+b and solve for "b":

4=4(8)+b\\4-32=b\\b=-28

Then the equation of this line is:

y=4x-28

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