Slope and Graphing Slope-Intercept

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (vertical change) to the run (horizontal change).

A zero slope indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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 (b) is the point where the line crosses the y-axis, represented by the value of y when x = 0.

A slope of -7 indicates that the line descends from left to right, meaning it decreases in value as x increases.

To convert to slope-intercept form, solve for y: y = (-A/B)x + (C/B). The slope is -A/B and the y-intercept is C/B.

To find the slope, convert to slope-intercept form: y = -4x + 3. The slope is -4.

Two lines are parallel if they have the same slope, meaning they rise and run at the same rate.