Mathhelp346
  • Mathhelp346
Please help: Write an equation in slope-intercept form for the line that contains (5,3) and is perpendicular to the line -x-4y=4x-y
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
A parallel line has the same slope, a perpendicular line has a negative inverse slope.
Mathhelp346
  • Mathhelp346
Ok
anonymous
  • anonymous
Solve for y to change the equation to slope intercept form. That will tell you what the slope is.

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Mathhelp346
  • Mathhelp346
-5x/3=y?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
Can you identify the slope?
Mathhelp346
  • Mathhelp346
Is it -5x/3?
anonymous
  • anonymous
No, the slope is a number without a variable.
anonymous
  • anonymous
y=mx+b m=slope
Mathhelp346
  • Mathhelp346
Ok can you help me find the slope
anonymous
  • anonymous
\(y=-\frac{5}{3}x\)
Mathhelp346
  • Mathhelp346
Yeah that's what I said
anonymous
  • anonymous
The slope is the coefficient of the x term.
Mathhelp346
  • Mathhelp346
Ohh ok
anonymous
  • anonymous
The use the point-slope formula to write the new equation.
Mathhelp346
  • Mathhelp346
So y-3=5/3(x-5)?
anonymous
  • anonymous
Almost. The perpendicular line has a negative inverse slope.
Mathhelp346
  • Mathhelp346
Ok so it's y-3=3/5(x-5)
anonymous
  • anonymous
Yes. The question asks for the slope-intercept form, so solve for y.
Mathhelp346
  • Mathhelp346
So the answer is y=3/5x?
anonymous
  • anonymous
You got it!
Mathhelp346
  • Mathhelp346
Ok thank you :)
anonymous
  • anonymous
You're Welcome.

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