Identifying Slope and Y-Intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, where x remains constant as y changes.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

How do you find the y-intercept from the equation of a line in slope-intercept form (y = mx + b)?

Back

The y-intercept is the value of b in the equation.