Thanksgiving Graphing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0.

Front

What is the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis. It is represented by the value of x when y = 0.

Front

What does the equation x = 14 represent?

Back

The equation x = 14 represents a vertical line that crosses the x-axis at the point (14, 0).

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

True or False: A linear equation can have variables with exponents greater than 1.

Back

False. A linear equation can only have variables with an exponent of 1.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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. Its equation is in the form y = b.

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. Its equation is in the form x = a.