8.4C 8.5I Check for Understanding

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (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: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

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

Back

The y-intercept can be found by looking at the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 3/2x + 3?

Back

The slope of the line is 3/2.

Front

What is the y-intercept of the line represented by the equation y = 3/2x + 3?

Back

The y-intercept of the line is (0, 3).

Front

If a line has a slope of -4/1, what does this indicate about the line?

Back

A slope of -4/1 indicates that the line is decreasing, meaning as x increases, y decreases.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, pick two points on the line, find the rise (change in y) and run (change in x), and then calculate slope = rise/run.