Interpreting Linear Graphs

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept is the value of y when x is 0, indicating the starting point of the line on the y-axis.

Front

What is the y-intercept of the equation y = -1/25x + 15?

Back

15

Front

How do you find the slope of a linear graph?

Back

The slope is calculated as the change in y divided by the change in x (rise/run).

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = -1/25x + 15?

Back

-1/25

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

If a linear graph has a slope of 0, what does that mean?

Back

It means the line is horizontal, indicating that y does not change as x changes.

Front

What is the significance of the x-intercept in a linear graph?

Back

The x-intercept is the value of x when y is 0, indicating where the line crosses the x-axis.

Front

How can you determine the x-intercept from the equation y = -1/25x + 15?

Back

Set y to 0 and solve for x: 0 = -1/25x + 15, which gives x = 375.

Front

What does it mean if two lines are parallel in a graph?

Back

Parallel lines have the same slope but different y-intercepts, meaning they will never intersect.