Unit 3 Mastery test 24-25

Front

What is the equation of a line given two points?

Back

To find the equation of a line given two points (x1, y1) and (x2, y2), use the formula: y - y1 = m(x - x1), where m is the slope calculated as m = (y2 - y1) / (x2 - x1).

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated as the change in y divided by the change in x: 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, represented as (0, b) in the equation y = mx + b.

Front

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

Back

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

Front

How do you determine the equation of a line with a given slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting the given slope (m) and y-intercept (b).

Front

What does the equation y = (2/5)x - 2 represent?

Back

This equation represents a line with a slope of 2/5 and a y-intercept of -2.

Front

How can you compare the speeds of two airplanes using their distance-time graphs?

Back

The steeper the slope of the line on a distance-time graph, the faster the airplane is traveling. Compare slopes to determine relative speeds.

Front

What is the significance of the coefficients in a linear equation?

Back

In a linear equation y = mx + b, m represents the slope (rate of change) and b represents the y-intercept (starting value).

Front

How do you interpret the difference in vacation hours based on hours worked?

Back

The difference in vacation hours can be calculated by comparing the vacation hours earned per hour worked for each company.

Front

What is the relationship between elapsed time and distance traveled?

Back

The relationship can be represented by a linear equation, where distance is a function of time, often shown in a distance-time graph.