(5.4) Slope intercept form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of a line that rises to the right?

Back

The slope is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 4/3, what does this indicate about its steepness?

Back

A slope of 4/3 indicates that for every 3 units moved horizontally, the line rises 4 units, making it steep.

Front

How do you determine if a slope is steep, moderate, or gentle?

Back

A slope greater than 1 is steep, a slope between 0 and 1 is moderate, and a slope of 0 is gentle.