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3 years ago

What is the equation of the line in standard form plz help asap

Mathematics

2 answers:

Strike441 [17]3 years ago

8 0

2x-y=2

sorry if im wrong i did this test a while ago

andrew-mc [135]3 years ago

4 0

The second option is correct. 2x-y=2
I hope it helps!

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3 years ago

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

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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.

Reciprocal of 7: $\frac{1}{7}$
Opposite of $\frac{1}{7}$ : $-\frac{1}{7}$

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!

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