Given two points, you can write an equation in point-slope form by first finding the slope using the two points and then plugging the slope and one point into the point-slope form equation.

Determine the point-slope form of the equation representing a line if two points on the line are (1,5) and (5,11).

Substitute in x and y values into the equation for slope.

Simplify

Slope

Slope InputOutput

y-coordinate of a point on the line

x-coordinate of the same point on the line

Substitute in values and simplify

Equation of the line in point-slope form