Algebra 1-Flashcard 4.1-4.6

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is 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 represents the rate of change of y with respect to x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How can you convert from standard form to slope-intercept form?

Back

To convert, solve for y to isolate it on one side of the equation.

Front

What does the equation y = mx + b represent?

Back

It represents a linear function where m is the slope and b is the y-intercept.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients determine the slope and position of the line on the graph.