Graphing Linear Equations

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

Define slope in the context of a linear equation.

Back

Slope (m) is a measure of the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

How do you find the x-intercept from a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and runs parallel to the x-axis.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and runs parallel to the y-axis.