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When do we use this formula y-y1=m(x-x1)

User Kevek
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ANSWER

This formula is used for finding the equation of a line when you have been given the slope of the line, m, and a point (x1, y1).

Step-by-step explanation

We have the equation:

y - y1 = m(x - x1)

We want to know what this formula is used for.

Generally, this formula is the most popular method of finding the equation of a line when you have been given the slope of the line, m, and a point (x1, y1).

Because x1 and y1 are numbers, and m is also a number (constant), the formula can be expanded to result in:

y = mx + c

m = slope

c= y intercept

That is:

y - y1 = m(x - x1)

y - y1 = mx - mx1

y = mx - mx1 + y1

y = mx + (y1 - mx1)

where c = y1 - mx1

This is possible because y1, x1 and m all have constant numerical values.

User Likan Zhan
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