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## what is the slope line perpendicular to the equation 4x+3y=9

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what is the slope line perpendicular to the equation 4x+3y=9

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Mathematics
3 years
2021-08-21T06:42:14+00:00
2021-08-21T06:42:14+00:00 1 Answers
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## Answers ( )

Answer:m=3/4

Step-by-step explanation:first, let’s put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)

we have the equation 4x+3y=9

subtract 4x from both sides

3y=-4x+9

divide by 3

y=-4/3x+3

perpendicularlines have slopes that arenegativeandreciprocal. If the slopes are multiplied together, the result is -1so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1

(m is the slope value)

-4/3m=-1

multiply by -3/4

m=3/4

therefore the slope of the perpendicular line is 3/4

hope this helps!! 🙂