Slope and Y-Intercept (Graphs, Equations & Verbal Descriptions)

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

Front

Identify the slope of the line represented by the equation y = -3x + 5.

Back

The slope is -3, indicating a negative slope.

Front

What type of slope does a line that rises from left to right have?

Back

Positive slope.

Front

What type of slope does a line that falls from left to right have?

Back

Negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

In the equation y = -25x + 120, what does the 120 represent?

Back

The y-intercept, indicating the value of y when x = 0.

Front

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

Back

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