Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

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 is the slope of the line that passes through the points (-3, -4) and (7, 6)?

Back

The slope is 1.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is 0.

Front

If a line is vertical, what is its slope?

Back

The slope of a vertical line is undefined.