The point slope form formula is used to represent the point-slope form of a line. To recall, 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 a slope. The point on the line is in the form of (x,y).
The Point Slope Form Formula is,
y – y1 = m (x – x1)
- m is the slope of the line
- x1 is the coordinates of the x-axis
- y1 is the co-ordinates of y-axis
Question: Find the equation of a line which passes through the point (2, 6) and has a slope of 7 ?
Given, m = 7
(x1, y1) = (2, 6)
The point slope form formula is,
y – y1 = m(x – x1)
y – 6 = 7(x – 2)
y – 6 = 7x – 14
7x – y – 8 = 0
The equation of the line is: 7x – y – 8 = 0