Writing Linear Equations Using Slope and Point
Start with the modified â€œpointslopeâ€ formula:
y = m(x â€“ x_{1}) + y_{1}
and simplify to the â€œslopeinterceptâ€ form of the linear equation:
y = m x + b
We will find that one of three things happen when we seek to write the equation of a line:
1. We are given the slope m and the yintercept: y = b or (0, b) .
Write: y
= m x + b.
2. We are given the slope m and a point (x_{1}, y_{1}).
Write: y
= m(x â€“ x_{1}) + y_{1}
Simplify to y = m x + b.
3. We are given two points (x_{1}, y_{1}) and (x_{2}, y_{2}). Find m.
