Key Features of Linear Equations

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers, represented as all of the above options: all real numbers, (-∞, ∞), and {x | x ∈ R}.

Front

How do you find the x-intercept of a graph?

Back

The x-intercept is found by setting y = 0 and solving for x.

Front

What is the x-intercept of the equation y = 2/3x + 6?

Back

The x-intercept is (-9, 0).

Front

If x is decreasing in a linear function, what happens to y?

Back

If x is decreasing, y is increasing in a linear function with a negative slope.

Front

What does an increasing linear graph look like?

Back

An increasing linear graph slopes upwards from left to right.

Front

What is the slope of a linear equation?

Back

The slope of a linear equation represents the rate of change of y with respect to x.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph crosses the y-axis, found by setting x = 0.

Front

What is the standard form of a linear equation?

Back

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

Front

What does it mean if a linear function has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.