Writing Equations in Point – Slope Form

You can write an equation of a line if you know its slope and the coordinates of one point on the line.

Rule 1: Finding the equation of a line given two points:

Step 1: Find the slope of the line connecting the two points.

Step 2: Substitute the first given point and the slope into the point-slope formula.

Step 3: Rewrite this equation into standard form.

Rule 2: The horizontal line passing through the point A(a,b) has an equation of y=b

Rule 3: The vertical line passing through the point A(a,b) has an equation of x=a

To find more about writing equations in point-slope form, read the explanation below.

Writing Equations in Point – Slope Form

Practice: Write linear equations in point-slope form given the coordinates of a point on the line and the slope of the line in the following exercises.

Writing Equations in Point – Slope Form 1

Writing Equations in Point – Slope Form 2

Writing Equations in Point – Slope Form 3