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How to Find the Equation of a Line from Two Points Find the slope using the slope formula. ... Use the slope and one of the points to solve for the y-intercept (b). ... Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
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 ) .
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.
A line going through these two points has a two-point form that is y?y1=(y2?y1)(x2?x1)×(x?x1) or equivalently, y?y2=(y2?y1)(x2?x1)×(x?x2). Here, the variables x and y represent any random point on the line represented by (x,y).
Once the slope has been identified, write a linear equation in slope-intercept form (y=mx+b). Using one set of coordinates (x,y) and the slope m, rewrite the equation by substituting the appropriate values for x, y, and m. Then, solve the equation for b to identify the y-intercept.