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2 years ago

Write an equation With the slope equal to -4/5 and (0,8)

Mathematics

1 answer:

Murljashka [212]2 years ago

3 0

Answer: y = (-4/5)x + 8

Solution

The equation of line is

y = mx + b

Where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

In order to write the equation of line we need to find the y-intercept (b)

substitute the slope (-4/5) and coordinates given (0,8) ,

y = mx + b

8 = -4/5 (0) + b

8 = b

So,

y = (-4/5)x + 8

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Find the difference between8/15 and 2/3 Show all calculations in your final answer.

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Answer:

$\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$

Step-by-step explanation:

Let the value of a number 'a' be = 8/15

Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

$a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=\frac{8}{15}-\frac{-2}{3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=\frac{8}{15}-\left(-\frac{2}{3}\right)$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\frac{8}{15}+\frac{2}{3}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{8+10}{15}$

$=\frac{18}{15}$

$\mathrm{Cancel\:the\:common\:factor:}\:3$

$=\frac{6}{5}$

Thus,

$\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$

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