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2 years ago

Which equation represents the line with a slope of 5/6 that passes through the point (−2,1)?

Mathematics

2 answers:

soldi70 [24.7K]2 years ago

5 0

Answer:

Slope m=

10-2

7-3

m = 2

Step-by-step explanation:

iragen [17]2 years ago

3 0

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Remember that the slope intercept formula is:

y = mx + b (m is the slope and b is the y-intercept)

We know that slope = 5/6 therefore m = 5/6

So far we have the equation: y =5/6x + b

Now we must find b

To do that, you must plug in the point the line goes through in the x and y of the equation. Point (-2, 1) go through the equation:

y = 5/6x + b

1 = 5/6(-2) + b

Now solve for b

First, you will multiply 5/6 by -2

1 = -5/3 + b

Add 5/3 to both sides

1 + 5/3 = -5/3 + 5/3 + b

8/3 = b

Now that we have b, we can now complete the equation.

y = 5/6x + 8/3

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2 years ago

Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist

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Answer:

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Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{0.5in}{2.3 miles}$ . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write $\frac{4.7in}{xmiles}$ and $\frac{2.4in}{xmiles}$

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$\frac{0.5}{2.3}=\frac{2.4}{x}$

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

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Answer:

A unit of volume equal to that of a cube having sides each one decimetre in length, equal to 10-3 cubic metres and 1 litre. Commonly used in fluid measure and for engine sizes.

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