|The equation of a line passing through a point P(x1 , y1) having a slope m is (y - y1) = m(x - x1).|
This form of a line is called the Point-Slope form.
Find the equation of a line passing through (3,5) having a slope 3.
Given that slope is 3
i.e., m = 3
A point on the line is (3,5)
Using the point slope form equation,
i.e., (y - y1) = m(x - x1).
y - 5 = 3(x - 3)
y - 5 = 3x - 9
y = 3x - 9 + 5
y = 3x - 4
Therefore, y = 3x -4 is the required equation of the line.
Directions: Solve the following questions. Also write at least 10 examples of your own.