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the equation for a line is y=mx+b where x and y are any point on a line, m is the slope, and b is the y-intercept. this equation is usually seen with numbers plugged into m and b, and y and x are left as is.

if you want to find the y-intercept of a equation and you have a point and a slope, than you wouldn't want to use this equation. you would want to use a similar one. so lets make it with some simple algebra.

y=mx+b

subtract mx from both sides

y-mx=mx-mx+b

simplify

y-mx=b

now you have a simple formula. take the slope of the line, multiply it by the y value, and subtract that from the x value, and you will get the y-intercept.

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Q: What is the y-intercept of the line passing through the point with a slope of?
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