Slope and y intercept review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a linear equation (y = mx + b).

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where 'm' is the slope and 'b' is the y-intercept.

Front

If the slope of a line is 5, what does this indicate?

Back

A slope of 5 indicates that for every 1 unit increase in x, the value of y increases by 5 units.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How can you write an equation in slope-intercept form?

Back

To write an equation in slope-intercept form, identify the slope (m) and the y-intercept (b) and use the format y = mx + b.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How do you determine the y-intercept from a graph?

Back

To determine the y-intercept from a graph, look for the point where the line crosses the y-axis.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.