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What is the equation of the line that passes through the point (-8,0)and has a slope of -1/4

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5 votes

Answer:

y = -1/4x - 2

Explanation:

I'm going to write this equation in slope intercept form, which looks like this: y = mx + b. First, write the equation using the slope given. It should look like this:

y = -1/4x + b

Next, you must find the y intercept by plugging in the point to the equation. This is what it looks like: 0 = -1/4(-8) + b. Multiply -1/4 by -8 to get 2. This is what your equation should look like now: 0 = 2 + b. Subtract 2 from both sides of the equation to get -2 = b. Go back to your original equation and plug -2 in for b. This is your final equation:

y = -1/4x - 2

Hope this helped!

User Sunsay
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