Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Point-slope form is a way to write the equation of a straight line using the coordinates of a point on the line and its slope. It is written as y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of the point and m represents the slope.
Related terms
Slope-Intercept Form: This is another way to write the equation of a straight line, but it uses the slope and y-intercept instead. It is written as y = mx + b, where m represents the slope and b represents the y-intercept.
Standard Form: The standard form of an equation for a straight line is Ax + By = C, where A, B, and C are constants. This form allows for easy comparison between coefficients.
Parallel Lines: Parallel lines have equal slopes but different y-intercepts. They never intersect no matter how far they extend in either direction.