Finding Slope Three WaysFrom a graph, from two points, or from a table.8th GradeThree starting points, one idea: how much does y change for each unit of x?1FROM A GRAPHPick two points where the line crosses grid corners. Count rise,then run.2FROM TWO POINTSm = (y₂ − y₁)/(x₂ − x₁). Subtract in the same order both times.3FROM A TABLEDivide the change in y by the change in x between any two rows.4FROM AN EQUATIONRearrange into y = mx + b. The number in front of x is m.TABLE EXAMPLEx: 1, 3, 5 · y: 4, 10, 16Δy = 6 for Δx = 2, so m = 3If a table gives different slopes for different pairs, the relationship is notlinear.Finding Slope Three Wayslearnposters.com
Finding Slope Three Ways — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Finding Slope Three Ways, step by step

Three starting points, one idea: how much does y change for each unit of x?

  1. FROM A GRAPHPick two points where the line crosses grid corners. Count rise, then run.
  2. FROM TWO POINTSm = (y₂ − y₁)/(x₂ − x₁). Subtract in the same order both times.
  3. FROM A TABLEDivide the change in y by the change in x between any two rows.
  4. FROM AN EQUATIONRearrange into y = mx + b. The number in front of x is m.

table example

  • x: 1, 3, 5 · y: 4, 10, 16
  • Δy = 6 for Δx = 2, so m = 3

If a table gives different slopes for different pairs, the relationship is not linear.

Questions about the Finding Slope Three Ways poster

What’s on the Finding Slope Three Ways poster?
4 numbered steps, with a full worked run-through. Three starting points, one idea: how much does y change for each unit of x? FROM A GRAPH — Pick two points where the line crosses grid corners. Count rise, then…; FROM TWO POINTS — m = (y₂ − y₁)/(x₂ − x₁). Subtract in the same order both times.; FROM A TABLE — Divide the change in y by the change in x between any two rows.; FROM AN EQUATION — Rearrange into y = mx + b. The number in front of x is m.. If a table gives different slopes for different pairs, the relationship is not linear.
Who is the Finding Slope Three Ways poster for?
Finding Slope Three Ways is filed under 8th Grade (ages 13–14), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Finding Slope Three Ways poster?
Whichever you are given, you are always dividing a change in y by a change in x. A wall chart earns its place by being glanceable from where the work is happening, so Finding Slope Three Ways belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Finding Slope Three Ways?
The Power of a Power Rule, The Product Rule and The Quotient Rule sit alongside Finding Slope Three Ways in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Power of a Power RuleThe Product RuleThe Quotient Rule
Is the Finding Slope Three Ways poster free to download and print?
Yes. Finding Slope Three Ways downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Finding Slope Three Ways poster print at?
Finding Slope Three Ways is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Finding Slope Three Ways loses nothing.Printing guide

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