A

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-3, 0) and B(-6, 5). Substitute:

$m=\dfrac{5-0}{-6-(-3)}=\dfrac{5}{-3}=-\dfrac{5}{3}$

The line passes through the origin, therefore the y-intercept is equal to 0.

Therefore we have the equation:

$y=-\dfrac{5}{3}x$

Convert to the standard form $Ax+By=C$

$y=-\dfrac{5}{3}x$ <em>multiply both sides by 3</em>

$3y=-5x$ <em>add 5x to both sides</em>

$5x+3y=0$

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3 years ago

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chubhunter [2.5K]

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Explanations:
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Which solution sounds more like what you’re doing in class right now?

If it’s the more complicated way:

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Sorry, this is probably confusing. Let me know what questions you have.

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3 years ago

Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec

IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$