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2 years ago

What's the slope and y-intercept of the equation 3x + 4y = 8?

Mathematics

2 answers:

Anna71 [15]2 years ago

6 0

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

$3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2$

aleksandrvk [35]2 years ago

4 0

Y intercept is 2
Slope is -3/4

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3 years ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

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Answer:

The money invested in account at 6 % rate is $ 9230.77

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Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

From Simple Interest method

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

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3 years ago

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3 years ago

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3 years ago

Find the distance between the points (-7,-6) and (5,-6) .

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Answer:

12 units

Step-by-step explanation:

We are given these two points, (-7,-6) and (5,-6), and we are to find the distance between them.

We know the formula for finding the distance between two points:

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So putting in the values of the given coordinates in the above formula to get:

Distance = $\sqrt{(5-(-7))^2+(-6-(-6))^2}$ = $\sqrt{144 + 0} =12$

Therefore, the distance between the two given points is 12 units.

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3 years ago