How do you find m1 and m2 in coordinate geometry?

In coordinate geometry, the slope of a line, m, is defined as the ratio of the change in y to the change in x of any two distinct points on the line. It can also be written as the ratio of the rise to the run.

What is meant by coordinate geometry?

Coordinate geometry (or analytic geometry) is defined as the study of geometry using the coordinate points. Using coordinate geometry, it is possible to find the distance between two points, dividing lines in m:n ratio, finding the mid-point of a line, calculating the area of a triangle in the Cartesian plane, etc.

To find the slope of a line, we can use the two-point form of the equation of a line, which is:

y = mx + b

Where m is the slope and b is the y-intercept.

To find the slope, we can use any two distinct points (x1, y1) and (x2, y2) on the line. To find m1 and m2, we use the following formulas:

m1 = (y2-y1) / (x2-x1)

m2 = (x2-x1) / (y2-y1)

It is important to note that m1 and m2 are the same value, just in different forms. m1 is the slope and m2 is the reciprocal of the slope.

In cases when x2-x1=0 (parallel to y-axis) or y2-y1=0(parallel to x-axis) the slope would be undefined and undefined respectively.

Learn more about coordinate geometry

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