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Vikentia [17]
3 years ago
10

Graph a line with a slope of -2/5 that contains the point (-3,5)

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

y=mx+b

Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

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3 years ago
The perimeter of a rectangle is 37. The length is 1 less than 12 times the width. What is the length and width of the rectangle
iren [92.7K]
Width = W
Length = 12W - 1
Perimeter = 2L + 2W = 37

In the perimeter equation substitute the length equation in for L to get the equation in terms of W
2L + 2W = 37
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Distribute
2(12W - 1) + 2w = 37
24W - 2 + 2w = 37
26W = 39
W = 3/2 = 1.5
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Lastly, solve for length
L = 12W - 1
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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