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Alenkasestr [34]
3 years ago
7

Subsitutey=4x-1 y=-3x-8

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

x = -1

y = -5

Step-by-step explanation:

Because we have an equation for the value of y, we can do this:

4x - 1 = -3x - 8

Then we can solve for x.

4x = -3x - 7 --- add 1 to both sides

7x = -7 --- add 3x to both sides

x = -1 --- divide both sides by 7.

Now that we know the value of x, we can solve for y.

y = 4(-1) - 1 --- plug in x

y = -4 - 1 --- simplify

y = -5 --- simplify

Now we know x and y.

x = -1

y = -5

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EXPLANATION

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Find the equation of the line that is perpendicular to the line
ddd [48]

Answer:

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Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

<u>1) Determine the slope (m)</u>

y=x-9

Rewrite the equation

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Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into y=mx+b:

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<u />

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Therefore, the y-intercept is 16. Plug this back into y=-x+b:

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I hope this helps!

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