Interpreting Linear Graphs

Front

What is the equation of a linear graph?

Back

A linear graph can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear graph represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear graph?

Back

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

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

If the equation of a line is y = -1/25x + 15, what is the slope?

Back

The slope is -1/25.

Front

If the equation of a line is y = -1/25x + 15, what is the y-intercept?

Back

The y-intercept is 15.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line crosses the y-axis.