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3 years ago

the points (3, 9) and (-3, -9) ate plotted on the coordinate plane using the equation y=a . x ... - did

Mathematics

1 answer:

slava [35]3 years ago

8 0

See the explanation

<h2>Explanation:</h2><h2></h2>

Here we have the following points:

$(3,9) \ and \ (-3,-9)$

The point-slope form of the equation of a line is:

$y=ax+b \\ \\ \\ a:Slope \\ \\ b:y-intercept$

So the slope can be found as:

$a=\frac{-9-9}{-3-3} \\ \\ a=\frac{-18}{-6} \\ \\ a=3$

So:

$y=3x+b \\ \\ \\ Finding \ b: \\ \\ For \ x=3, \ y=9: \\ \\ \\ So: \\ \\ 9=3(3)+b \\ \\ b=9-9 \\ \\ b=0$

So the equation is finally:

$y=3x$

This line passes through and is shown below.

<h2>Learn more:</h2>

About lines: brainly.com/question/14427236#

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3 years ago

The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?

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$log_{2\sqrt 2} X = \frac{1}{3}k$

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

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using the following law of logarithm

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