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3 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

Mathematics

1 answer:

Sveta_85 [38]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = $\frac{2}{5}$ , thus

y = $\frac{2}{5}$ x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - $\frac{4}{5}$ + c ⇒ c = 4 + $\frac{4}{5}$ = $\frac{24}{5}$

y = $\frac{2}{5}$ x + $\frac{24}{5}$ ← equation of line

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Read 2 more answers

5 2/3 gave to her 4 friends how much did each one receive

Olin [163]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

_________________________________

Step (1)

First we have to find all she has :

$5 \frac{2}{3} = 5 + \frac{2}{3} = \frac{5 \times 3}{3} + \frac{2}{3} = \\ \frac{15}{3} + \frac{2}{3} = \frac{17}{3}$

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Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4} = \frac{17}{12} \\$

So each of her friends receive 17/12 .

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If it is 5 × 2/3

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Step (1)

Firs we have to find all she has :

$5 \times \frac{2}{3} = \frac{10}{3} \\$

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Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{10}{3} \div 4 = \frac{10}{3} \times \frac{1}{4} = \frac{10}{12} \\$

So each of her friends receive 10/12 .

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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