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The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y2212y1=y22212y1x22212x1(x2212x1) y 2212 y 1 = y 2 2212 y 1 x 2 2212 x 1 ( x 2212 x 1 ) OR y2212y2=y22212y1x22212x1(x2212x2) y 2212 y 2 = y 2 2212 y 1 x 2 2212 x 1 ( x 2212 x 2 ) .
Steps 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.
How to find the equation of a line with slope and coordinates of a point?Identify the point coordinates: x1 = 2 , y1 = -3 .Identify the slope: m = 2.Input the values into the point slope form formula: y - y1 = m (x - x1) y - (-3) = 2(x - 2)Simplify to get the general equation: y = 2x - 4 -3. 0 = 2x - y - 7.
If you know two points on a line, you can use them to write the equation of the line in slope-intercept form. The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept.
Steps For Writing Equations Given Two Points (Using y = mx+b, substitute x, y, and the slope (m) and solve the equation for b.) Write the equation in slope intercept form using the slope and y-intercept. If needed, you can then rewrite the equation in standard form as well.