gudetamas
  • gudetamas
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15. (y=mxtb format)
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Perpendicular to a line means the negative reciprocal of the slope. So first, let's find the slope of x+7y=8. To do that, we need to rearrange it to slope intercept form (y=mx+b).
SolomonZelman
  • SolomonZelman
If you have a know that 5x+3y=15 ─> y=(-5/3)x+5, then it's slope has to be \(-1/\color{red}{(-5/3)}\)
anonymous
  • anonymous
Negative reciprocal of −17 is 7. So the perpendicular line has a slope of 7. And, we can begin to create the equation for the perpendicular line: y=7x+b. Using the information in the original problem, we can find the value of the y-intercept, b. The line must pass through (-4, 42). Simply plug those values into y=7x+b and solve for b. −42=7(−4)+b −42=−28+b −42+28=b −14=b

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gudetamas
  • gudetamas
so y=7x-14
WYKEISE
  • WYKEISE
Negative reciprocal of −17 is 7. So the perpendicular line has a slope of 7. And, we can begin to create the equation for the perpendicular line: y=7x+b. Using the information in the original problem, we can find the value of the y-intercept, b. The line must pass through (-4, 42). Simply plug those values into y=7x+b and solve for b. −42=7(−4)+b −42=−28+b −42+28=b −14=b
AlexandervonHumboldt2
  • AlexandervonHumboldt2
stop spamming
AlexandervonHumboldt2
  • AlexandervonHumboldt2
and negative reciprocal of -17 is 1/17
AlexandervonHumboldt2
  • AlexandervonHumboldt2
@Compassionate mods see deleted comments have fun in being rude!
gudetamas
  • gudetamas
@SolomonZelman also do know 5x+2y=12. in slope intercept form?
gudetamas
  • gudetamas
i just wanna know how to make 5x+2y=12. in slope intercept form jc
anonymous
  • anonymous
yeah im back and i have a hole lot of them yea im talking to u alexander and this site manger the police
anonymous
  • anonymous
u willy wonka
AlexandervonHumboldt2
  • AlexandervonHumboldt2
Please stop spaming
anonymous
  • anonymous
Refer to the attachment created with the Mathematica program.
1 Attachment
gudetamas
  • gudetamas
@robtobey ty

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