<h2>
Point-Slope Form</h2>
Point-slope form is a form of a linear equation:
- is a point that falls on the line
- <em>m</em> is the slope of the line
To write an equation in point-slope form:
- Calculate the slope of the line by solving for <em>m</em>
- Plug <em>m</em> into the general equation
- Plug a point that falls on the line in the general equation as
<h2>Solving the Question</h2>
We're given:
- The line passes through the points (f,g) and (h,j)
Solve for the slope (<em>m</em>):
⇒ Plug in the point (f,g) as (x,y):
⇒ Plug in the point (h,j) as (x₁,y₁):
⇒ Isolate <em>m</em> by dividing both sides by (f-h):
⇒ <em>Therefore, the slope of the line is </em>.
Plug the slope into the general equation:
Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):
<h2>Answer</h2>
There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):