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Sliva [168]
3 years ago
14

A line passes through the point (1,4) and is perpendicular to the line with equations y=-1/5x+2. what's the equation of the line

?
Mathematics
1 answer:
jekas [21]3 years ago
4 0

To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

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