Graphs of Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

Front

How do you find the slope from two points?

Back

Front

What is the standard form of a linear equation?

Back

Front

What does it mean if a line has a positive slope?

Back

A line with a positive slope rises from left to right, indicating that as the x-value increases, the y-value also increases.

Front

What does it mean if a line has a negative slope?

Back

A line with a negative slope falls from left to right, indicating that as the x-value increases, the y-value decreases.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What is the significance of the x-intercept?

Back