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Point Slope Form Formula

When the equation of a line using line slope of the line and a point through which the line passes, that equation is point slope formula. The steepness of line is slope. The point on the line is in the form of (x,y).

The Point Slope Form Formula is,

\[\large y-y_{1}=m(x-x_{1})\]

m is the slope of the line.
x1 is the co-ordinates of x-axis.
y1 is the co-ordinates of y-axis.

Solved Examples

Question 1: Find the equation of a line which passes through the point (2, 6) and has a slope of 7 ?


m = 7
(x1, y1) = (2, 6)

The point slope form formula is,

yy1 = m(xx1)
y – 6 = 7(x – 2)
y – 6 = 7x – 14
7xy – 8 = 0

The equation of the line is: 7xy – 8 = 0