Coordinates and linear graphs

Practice 5 items →

Slope is a rate. Students compute m from two points, graph y = mx + c from slope and intercept, handle horizontal (slope 0) and vertical (undefined slope) lines, and read slope and intercept in a story such as water draining.

Specification · for a parent or teacher

Part no.: slope-linear-graphs
Course: Advanced Math 7 · Unit 10
Realm: Change
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

$m=\frac{y_2-y_1}{x_2-x_1}$ ; graph from slope and intercept; $y=k$ (slope 0) and $x=h$ (undefined slope); read slope and intercept in a story.

Ready when

they graph $y=-\frac12 x+3$ and say what $-1/2$ and $3$ mean in “water draining.”

Formulas

Slope

m = \frac{y_2 - y_1}{x_2 - x_1}

Slope-intercept

y = mx + c

Watch for

$m=\frac{x_2-x_1}{y_2-y_1}$ ; vertical line called slope 0.

Before · requires

Coordinates and graphs (four quadrants)four-quadrant-plane · Math 6
Simple equations in one variablelinear-equations-7 · Math 7

After · used by

Proportionsdirect-inverse-proportion · Math 7
Linear equations and inequalities (two variables)linear-forms-half-planes · Math 1
Coordinate geometrycoordinate-geometry · Math 1

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