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puteri [66]
3 years ago
11

How do you find the slope?

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

Rise over run

Step-by-step explanation:

Take two points where you know for sure the coordinates (in this problem, you can use (2, 1.5) and the origin). Find the difference between the two y's for your run, and between your two x's for your rise. Then, put it in a fraction (it needs to be a fraction, thus the name rise over run.)

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Step-by-step explanation:

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

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 of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

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

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

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