what is the slope of the line that passes through the points (9, 5) and (21, -5) in the simplest form

Mathematics

1 answer:

deff fn [24]1 year ago

7 0

The slope of the line which passes through the two points as given in the task content is; m = -5/6.

<h3>What is the slope of the line which passes through the two points given?</h3>

The slope of the line in discuss which passes through the points as given can be determined from the slope formula as follows;

slope, m = (-5-5)/(21-9)

m = -10/12

m = -5/6

Ultimately, the slope of the line which passes through the two points as given in the task content is; m = -5/6.

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How to solve 1/4-x=x/8

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Answer:

$x=\frac{2}{9}$

Step-by-step explanation:

$\frac{1}{4}-x=\frac{x}{8}$

With the equation's current format, we will have trouble solving with all these fractions. Especially the fraction $\frac{x}{8}$ is very difficult to deal with, so my first step would be:

$(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})$

If we multiply both sides by this number, we will be able to get rid of the messy fraction on the right side as well as remove the fraction on the left side. Like so:
<em>I put the $8$ I multiplied onto each side in fraction form simply for clarity. You do not need to do this.</em>

$(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})\\\frac{8}{4}-8x=\frac{8x}{8}\\2-8x=x$

After this point, let's put our variable, $x$ , onto one side of this equation and any other integers on the other by adding and subtracting them from both sides.

$2-8x=x\\-9x=-2$

Now we divide so that $x$ is isolated, and we are done.

$x=\frac{-2}{-9}=\frac{2}{9}$

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3 years ago

Evaluate. [(12−5)⋅12]÷6

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