Straight Line Graphs Flashcards

The steepness of a line, calculated as the change in y divided by the change in x (rise over run).

y = mx + c, where m is the gradient and c is the y-intercept.

The point where the line crosses the y-axis, represented by c in the equation y = mx + c.

The point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Lines that have the same gradient (m) but different y-intercepts (c).

Lines whose gradients multiply to give -1 (m₁ × m₂ = -1).

Use the formula (y₂ - y₁) / (x₂ - x₁) to calculate the gradient between two points (x₁, y₁) and (x₂, y₂).

y = c, where c is a constant. The gradient of a horizontal line is 0.

x = a, where a is a constant. The gradient of a vertical line is undefined.

The midpoint is calculated as ((x₁ + x₂)/2, (y₁ + y₂)/2) for points (x₁, y₁) and (x₂, y₂).