Slope and Linear Functions Flashcards

Grade 8 · Math · Flashcards

Review slope, linear equations, and graphing concepts.

Flashcards

Slope (m): Rate of change; m = (y2-y1)/(x2-x1) = rise/run.
Slope-intercept form: y = mx + b; m = slope, b = y-intercept.
Y-intercept: Where line crosses y-axis; point (0, b).
X-intercept: Where line crosses x-axis; set y=0 and solve.
Positive slope: Line rises left to right; m > 0.
Negative slope: Line falls left to right; m < 0.
Zero slope: Horizontal line; y = constant; m = 0.
Undefined slope: Vertical line; x = constant; no slope value.
Parallel lines: Same slope, different y-intercepts — never intersect.
Graphing from y = mx + b: 1. Plot b on y-axis. 2. Rise and run to second point. 3. Draw line.
Rate of change in a table: Divide change in y by change in x — must be constant for linear data.
Standard form: Ax + By = C — another way to write a linear equation.