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Ber [7]
3 years ago
12

What is the slope- intercept equation of the line below?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

y= 5/4x - 2

Step-by-step explanation:

Hey!

<u>Slope-Intercept Form</u> is y = mx + b, where <u>m</u> is the <u>slope</u> and <u>b</u> is the <u>y-intercept.</u>

First we can <em>locate the y-intercept</em>, or where the line passes through the y-axis.

The y-intercept is -2.

<em>Substitute </em>in the Slope-Intercept Form Equation:

y = mx -2

<u>Pick another point and substitute its x and y values in this equation.</u>

I chose (5,2) and substituted as 2 = m(5) -2

<em>Isolate </em>m:

<em>Add </em>2 to both sides <u>[Addition Property of Equality</u>]

2 + 2 = 5m - 2 + 2

4 = 5m

<em>Divide </em>by 5<em> </em>on both sides. [<u>Division Property of Equality</u>]

5m/5 = 4/5

m=4/5

<em>Substitute </em>in Slope-Intercept Form Equation.

<u><em>The Equation in Slope Intercept Form is y = 4/5x - 2</em></u>

==================================================================

<em>Hope I helped, Feel Free to ask any questions to clarify :) </em>

<em> Have a fantastic day! </em>

<em>                        -Aadi x</em>

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Step-by-step explanation:

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5 0
2 years ago
Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

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A scale model of a building has a height of 18 inches and a length of 14 inches. The height of the real building Is 360 ft. What
Naya [18.7K]
For this case, the first thing to do is find the scale factor.
 Using the measure of height we have:
 k = (360) / (18 * (1/12))
 k = 240
 Thus, the length of the building is:
 (14 * (1/12)) * (240) = 280 feet
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The lenght of the real building is:
 
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2 years ago
1.73639 rounded to the nearest thousanth
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8 0
3 years ago
Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at rando
Korolek [52]

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

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$10 bill = 3

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Pulling a bill at random, the bills would have an expected value as follows:

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For $5 bill, expected value = \frac{1}{13}

For $10 bill, expected value = \frac{3}{13}

For $20 bill, the expected value = \frac{2}{13}

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

6 0
3 years ago
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