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Brent0423 Group Title

Find the equation of the line with x − intercept (4,0) that is perpendicular to the line 3x − 8 y = 5 .

  • 2 years ago
  • 2 years ago

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  1. Brent0423 Group Title
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    set one of the variables equal to zero then find the other variable and repeat for x and y, then plug it into the equation for a line y=mx+b

    • 2 years ago
  2. Brent0423 Group Title
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    is this correct? please help me :)

    • 2 years ago
  3. cshalvey Group Title
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    Hey @Brent0423 - so, to find perpendicular lines, you need to remember that the slope of the line is the *inverse* of the original line. So, you should put your original equation into slope intercept format (y=mx+b), and see if you can figure out the next step from there.

    • 2 years ago
  4. Brent0423 Group Title
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    Im confused which original equation?

    • 2 years ago
  5. cshalvey Group Title
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    Your 3x-8y=5 - You need to put that into the y=mx+b format

    • 2 years ago
  6. Brent0423 Group Title
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    Ok so in y=mx+b Y stands for the y-coord M stands for slope X stands for my x-coord B stands for what???

    • 2 years ago
  7. cshalvey Group Title
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    B stands for the 'y-intercept' Basically, this is where the line crosses the y-axis (that's the vertical one)

    • 2 years ago
  8. Brent0423 Group Title
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    Please show me what it would be in y=mx+b form

    • 2 years ago
  9. cshalvey Group Title
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    No problem, so, let's look at your original equation: 3x-8y=5 We want to put Y on its own side of the equation, so subtract 3X from both sides, this gives you: -8y = -3x + 5 Now, I need to divide by (-8) in order to get y on its own, giving you: \[y=3/8 x + -5/8\]

    • 2 years ago
  10. Brent0423 Group Title
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    I got it!! Now what??

    • 2 years ago
  11. cshalvey Group Title
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    So, what's your slope?

    • 2 years ago
  12. Brent0423 Group Title
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    3/8. So the negative reciprocal is -8/3

    • 2 years ago
  13. cshalvey Group Title
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    ^ Awesome!

    • 2 years ago
  14. cshalvey Group Title
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    K, so now we need to give the full equation of the line. You've already got the slope, now can you figure out how to get b? Use the points they give you and put them all into the slope intercept equation...

    • 2 years ago
  15. Brent0423 Group Title
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    y-y1=m(x-x1)

    • 2 years ago
  16. Brent0423 Group Title
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    y-0=-8/3(x-4) y=-8/3x+32/3

    • 2 years ago
  17. cshalvey Group Title
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    I do believe that's the correct answer - but I'd like to make sure with @Hero first. Good work though @Brent0423 - way to stick in there :)

    • 2 years ago
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