8.3.b: 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 (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

If m = -7 and b = -8, what is the equation of the line?

Back

y = -7x - 8

Front

Which equation represents a line with a positive slope?

Back

y = 2x + 10 (the slope is 2, which is positive).

Front

Which equation represents a line with a negative slope?

Back

y = -3x + 1 (the slope is -3, which is negative).

Front

What is the slope of the line represented by the equation x = 5?

Back

The slope is undefined because it is a vertical line.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the slope of the line represented by the equation y = 1/2x + 10?

Back

The slope is 1/2.

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.