Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you find the rate of change in a linear equation?

Back

The rate of change is the slope of the line, calculated as the change in y divided by the change in x.

Front

What is Mrs. Gordon's rate from 0 to 2 seconds if she travels 5 feet?

Back

Mrs. Gordon's rate is 2.5 feet per second.

Front

Convert the equation 5x + 2y = 10 into slope-intercept form.

Back

The slope-intercept form is y = -\frac{5}{2}x + 5.

Front

Find the rate of change between the points (-2, 10) and (4, 14).

Back

The rate of change is \frac{2}{3}.

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

Define the term 'slope' in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = \frac{y2 - y1}{x2 - x1}.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.