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Start with the modified â€œpoint-slopeâ€ formula:
y = m(x â€“ x1) + y1
and simplify to the â€œslope-interceptâ€ 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 y-intercept: y = b or (0, b) .
= m x + b.
2. We are given the slope m and a point (x1, y1).
= m(x â€“ x1) + y1
Simplify to y = m x + b.
3. We are given two points (x1, y1) and (x2, y2). Find m.