4.5 Slope using multiple representations

Front

What is the slope in the equation y = mx + b?

Back

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

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -2/3x + 5?

Back

The slope is -2/3.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = 1x - 2 or y = x - 2.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

What is the slope of the line represented by the equation y = -3x - 3?

Back

The slope is -3.

Front

Write the equation of a line with a slope of -1/3 and a y-intercept of -2.

Back

The equation is y = -1/3x - 2.

Front

What is the y-intercept of the equation y = -2x + 7?

Back

The y-intercept is 7.