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Juliette [100K]
3 years ago
14

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Mathematics
2 answers:
Helen [10]3 years ago
3 0

Answer:

y+3= -6(x+9) is the answer

Step-by-step explanation:

dem82 [27]3 years ago
3 0

Answer:

y+3=-6(x+9)

Step-by-step explanation:

We are given that

Slope of a line=-6

Given point =(-9,-3)

We have to find the equation which represents the line.

The equation of line passing through the given point (x_1,y_1) with slope m is given by

y-y_1=m(x-x_1)

Substitute the values then we get

The equation of line passing through the point (-9,-3) with slope -6 is given by

y-(-3)=-6(x-(-9))

y+3=-6(x+9)

Hence, the equation of line that passes through (-9,-3) and has  a slope -6 is given by

y+3=-6(x+9)

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2 years ago
The owner of two hotels is ordering towels. He bought 15 hand towels and 43 bath towels for his hotel in Livingston, spending a
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Answer:

The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

Step-by-step explanation:

Let the Cost of Each hand Towels be 'x'.

Let the Cost of Each Bath Towels be 'y'.

Now Given:

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So we can say that;

15x+43y=548

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99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177.

So we can say that;

99x+62y =1177  ⇒ Equation 2

Substituting the value of 'x' from equation 1 in Equation 2 we get;

99\frac{(548-43y)}{15}+62y=1177\\\\33\frac{(548-43y)}5+62y=1177\\\\\frac{18084-1419y}5+62y=1177

Now taking LCM to make the denominator common we get;

\frac{18084-1419y}5+\frac{62y\times5}{5}=1177\\\\\frac{18084-1419y}5+\frac{310y}5=1177\\\\\frac{18084-1419y+310y}{5}=1177

18084-1109y=1177\times5\\\\18084-1109y=5885

Combining the like terms we get;

18084-5885=1109y\\\\12199=1109y

Dividing both side by 1109 we get;

\frac{12199}{1109}=\frac{1109y}{1109}\\\\y=\$11

Substituting the value of y in equation 1 we get;

x=\frac{548-43y}{15}=\frac{548-43\times11}{15}=\$5

Hence The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

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