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aalyn [17]
3 years ago
10

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1

7x+1067 y=−17x+10
Mathematics
2 answers:
True [87]3 years ago
7 0

Answer:

\huge\boxed{y=-\frac{1}{7}x+ 10}

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

  • A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
  • B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

  • <u>Reciprocal of 7:</u>    \frac{1}{7}
  • <u>Opposite of </u>\frac{1}{7}:    -\frac{1}{7}

So the slope of this line will be -\frac{1}{7}. The y-intercept will change, and we can substitute what we know into the equation y=mx+b.

y = -\frac{1}{7}x+b

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

  • 8 = -\frac{1}{7} \cdot 14 + b
  • 8 = -\frac{14}{7} + b
  • 8 = -2 + b
  • b = 10

Now that we know the y-intercept, we can finish off our equation by plugging that in.

y = -\frac{1}{7}x + 10

Hope this helped!

OverLord2011 [107]3 years ago
5 0

Answer:

y=−17x+10

Step-by-step explanation:

shorter version

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