So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that its slope is -4/3.

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

In short, your new equation is y = -4/3x - 10 1/3.

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3 years ago

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Lin ran 29 meters in 10 seconds. she ran at a constant speed. At this rate, how far can she run in 1 minute

scoundrel [369]

Answer:

2.9 per second

Step-by-step explanation:

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3 years ago

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A basketball player has already scored 56 points in a game. The team record for points in a game is 72. Which equation would all

maks197457 [2]

A because if you subtract 56 from both sides, then x would show you what equals the tied record

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3 years ago