Mathematics — first biennium · Lesson
Two points with different x-coordinates determine exactly one line. The slope is Δy/Δx; then point-slope form or y=mx+q gives the equation.
Prerequisites: Distance, coordinates and line equation
Goal: Derive a line from two points and move between slope, point-slope form and slope-intercept form.
In this lesson: Derive a line from two points and move between slope, point-slope form and slope-intercept form.
How to proceed: If you reverse the order in the numerator, reverse it in the denominator too. After finding m, substitute one complete (x,y) pair to obtain q.
You can already assume: Distance, coordinates and line equation.
Points A and B determine one line: the ratio of coordinate changes gives m, then substitution determines q.
Completed exercises: 0/5 · Correct on first attempt: 0
If you reverse the order in the numerator, reverse it in the denominator too. After finding m, substitute one complete (x,y) pair to obtain q.
Data / situation: Find the line through A(-4,8) and B(1,-7).
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