Graphing Linear Functions

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is the value of y when x = 0, represented by the value of b in the equation y = mx + b.

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

A horizontal line has a slope of zero.

A vertical line has an undefined slope.

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

The y-intercept is 5.

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

The slope of a line that goes down from left to right is negative.