Equation of Line Flashcard

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What does it mean if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input corresponds to multiple outputs.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation.

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

How do you calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

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 equation of a line that passes through the points (1, 2) and (3, 4)?

Back

The equation of the line is y = x + 1.

Front

What is the significance of a linear graph?

Back

A linear graph represents a constant rate of change between two variables.