Calculating Altitude Length from Point to Line

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In summary, the formula for a line equation given coordinates is y = mx + b, where m is the slope and b is the y-intercept. To find the slope of a line with given coordinates, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. The y-intercept represents the point where the line crosses the y-axis, and in the equation y = mx + b, the value of b determines where the line intersects the y-axis. A line can have a negative slope, which means it is decreasing as it moves from left to right. To graph
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marcus11
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I'm doing math from correspondance, so I have no one to ask.
But to find the length of an altitude from a point to a line, I need to be able to make an equation for a line from 2 sets of quardants.

Thanks.
 
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Sure, I can help with that! To find the length of an altitude from a point to a line, you will need to use the formula d = |Ax + By + C| / √(A² + B²) where A, B, and C are the coefficients of the line equation Ax + By + C = 0. To find these coefficients, you will need to use the coordinates of two points that lie on the line. Once you have the equation for the line, you can plug in the coordinates of the point and solve for the distance. Let me know if you need any further clarification. Good luck with your math!
 

FAQ: Calculating Altitude Length from Point to Line

What is the formula for a line equation given coordinates?

The formula for a line equation is y = mx + b, where m is the slope and b is the y-intercept.

How do you find the slope of a line with given coordinates?

To find the slope of a line, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

What is the significance of the y-intercept in a line equation?

The y-intercept represents the point where the line crosses the y-axis. In the equation y = mx + b, the value of b determines where the line intersects the y-axis.

Can a line have a negative slope?

Yes, a line can have a negative slope. A negative slope means that the line is decreasing as it moves from left to right.

How do you graph a line with a given equation?

To graph a line, you can plot the y-intercept first, and then use the slope to find additional points on the line. Plot these points on a coordinate plane and connect them to create the line.

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