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Use the slope and one of the points to solve for the y-intercept (b). One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Two-Point Form: Definition The two-point form is used for deriving the equation of a line in the coordinate plane when two points of the line are given. It is a helpful way to represent a line algebraically.
Algebra 23 - Two-Point Form - YouTube YouTube Start of suggested clip End of suggested clip Form. Along with the coordinates of either one of the points. Like the slope-intercept. And pointMoreForm. Along with the coordinates of either one of the points. Like the slope-intercept. And point slope form x' the two point form cannot be used to describe a vertical. Line.
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
To write equation of a line in two-point form, simply substitute the coordinates of the given two points in the equation ( y ? y 2 ) = y 2 ? y 1 x 2 ? x 1 ( x ? x 2 ) . Example: Find the equation of a line passing through the points and . Substitute the values in ( y ? y 2 ) = y 2 ? y 1 x 2 ? x 1 ( x ? x 2 ) .