Give two points — or a slope with a point or intercept — and get the slope, intercepts, and the line in slope-intercept, point-slope and standard form, drawn to scale.
Start from two points, a slope and a point, or a slope and an intercept. The analyzer finds the slope and writes the line in all three common forms.
From two points (x₁, y₁) and (x₂, y₂) the slope is m = (y₂ − y₁) / (x₂ − x₁), the rise over the run. With whole-number points the analyzer keeps the slope as an exact fraction, so you see 2/3 rather than 0.6667.
Point-slope form is y − y₁ = m(x − x₁). Solving for y gives slope-intercept form y = mx + b, where b is where the line crosses the y-axis. Clearing fractions and moving everything to one side gives standard form Ax + By = C.
The y-intercept is b, and the x-intercept is where y = 0, at x = −b/m. Horizontal lines (m = 0) have no x-intercept unless they are the x-axis itself, and vertical lines (x = a) have an undefined slope, so the analyzer reports those as special cases.