Point slope form is one such method used to find the straight line equation where one co-ordinate and slope is given. Here are two simple Point Slope Form Examples to find the equation of a straight line.
Let us consider the problem for practice : A straight line with X1 as 12, Y1 as 6 and slope as 2. What will be the equation of straight line?
We can calculate the equation using point slope form with the given formula.
Substituting the values in the formula,
(y - y1) = m(x- x1) (y - 6) = 2(x- 12) y - 6 = 2x - 24 y - 2x = -24 + 6 y - 2x = -18 2x - y -18 = 0 is the equation of straight line
Let us consider the problem for practice : A straight line with X1 as 7, Y1 as 2 and slope as 5. What will be the equation of straight line?
We can calculate the equation using point slope form with the above given formula.
Substituting the values in the formula,
(y - 5) = 5(x- 7) y - 5 = 5x - 35 y - 5x = -35 + 5 y - 5x = -30 5x -y -30 = 0 is the equation of the straight line.