Point Slope Form Examples

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.

Equation of Straight Line Practice Problems

Example 1:

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?

Solution:

We can calculate the equation using point slope form with the given formula.

Formula :

(y - y1) = m(x- x1)

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

Example 2:

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?

Solution:

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.


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