8.5I-Practice

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, represented by 'm' in the equation of a line (y = mx + b). It indicates how much y changes for a unit change in x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation of a line (y = mx + b). It indicates the value of y when x = 0.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the formula for calculating the total cost if a plumber charges $37 per hour and $20 for travel?

Back

The total charge can be calculated using the expression 37w + 20, where w is the number of hours worked.

Front

What is the significance of the coefficient of x in a linear equation?

Back

The coefficient of x in a linear equation represents the slope of the line, indicating the rate of change of y with respect to x.

Front

How can you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and the y-intercept, then use the slope-intercept form (y = mx + b).