Slope-Intercept Form

Front

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

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

Write the slope-intercept form of a line with a slope of 4 and a y-intercept of 3.

Back

y = 4x + 3

Front

What letter represents the slope of a line in the equation y = mx + b?

Back

m

Front

How do you determine the slope of a line from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

The line descends from left to right.

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

How can you identify the slope from a graph of a line?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.

Front

What does it mean if a line has a slope of 1?

Back

The line rises 1 unit for every 1 unit it runs, indicating a 45-degree angle with the x-axis.