The equation of the line will be 3y + 8x = 165.
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.
The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
To know more about equations follow
brainly.com/question/2972832
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Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
y - 2 = -1/2(x - 6)
2(y - 2) = -(x - 6)
2y - 4 = -x + 6
x + 2y = 6 + 4
x + 2y = 10
M=3/2 pls mark brainliest
1) calculate 12% of 3000
3000=100%
x=12%
3000•12=100•x
x=360
2) calculate 3% of 3000
3000=100%
y=3%
3•3000=100y
y=90
3) calculate 1% of 3000
3000=100%
z=1%
3000•1=100z
z=30
4) calculate 6% of 3000
3000=100%
k=6%
3000•6=100k
k=180
5) now we need to add all this numbers to each other to see total money he has to spend in taxes (but we will take 180 twice because there where two 6%_s)
360+90+30+180+180=840
6) to calculate his take-home pay, we need to subtract 3000 by tax pay that we just calculated
3000-840=2160
FINALL ANAWER—his take home pay is $2160
Distance (in miles) Amount of fuel (in gallons)
1092 109
671 67
985 99
Relation, x/y = 1092/109 = 10.02
671/67 = 10.2
So, Relation is x = 10.02y
Hope this helps!
