Test 5: Graphing Linear Equations

Front

What is the formula to calculate the slope of a line?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

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

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

The y-intercept can be found directly from the equation y = mx + b as the value of 'b'.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What is the significance of a negative slope?

Back

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

Front

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

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, indicating that x does not change as y changes.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.