How to Find the Equation of a Line
Plug the slope in for m in the formula y-y1 = m(x-x1).. Replace x1 and y1 with the coordinates of the point.. Solve the formula for y to get the final slope-intercept formula.
Steps
1
Plug the slope in for m in the formula y-y1 = m(x-x1).
Plug the slope in for m in the formula y-y1 = m(x-x1).
2
Replace x1 and y1 with the coordinates of the point.
Replace x1 and y1 with the coordinates of the point.
3
Solve the formula for y to get the final slope-intercept formula.
Solve the formula for y to get the final slope-intercept formula.
4
Find the slope using m = (y2-y1)/(x2-x1).
Find the slope using m = (y2-y1)/(x2-x1).
5
Replace the m in the slope-intercept formula with the slope you found.
Replace the m in the slope-intercept formula with the slope you found.
6
Substitute x and y for one of the points you know to solve for the y-intercept.
Substitute x and y for one of the points you know to solve for the y-intercept.
7
Solve the equation for b.
Solve the equation for b.
8
Plug in the slope and y-intercept into the slope-intercept formula to finish the
Plug in the slope and y-intercept into the slope-intercept formula to finish the equation.
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