Slope/Graphing and Comparing Linear Equations Review

Front

What is the formula for calculating the slope of a line between two points?

Back

m = (y2 - y1) / (x2 - x1)

Front

How do you simplify the fraction 6/12?

Back

6/12 simplifies to 1/2.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the slope of the line represented by the equation y = -2/3x + 4?

Back

The slope is -2/3.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept in the equation y = 12x + 50?

Back

The y-intercept is 50.

Front

If a plumber charges $50 for a house call plus $12 per hour, what is the slope of the cost function?

Back

The slope is 12, representing the cost per hour.

Front

How do you determine which of two lines has a greater rate of change?

Back

Compare the slopes of the two lines; the line with the greater slope has a greater rate of change.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you graph the line y = -2/3x + 4?

Back

Start at the y-intercept (0, 4) and use the slope (-2/3) to find another point.