slopes and y-intercepts

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 is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0.

Front

Determine the slope and y-intercept from the equation y = 3/2x + 3.

Back

Slope: 3/2, Y-intercept: (0, 3)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

In the equation y = -2x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Front

In slope-intercept form, what does 'm' stand for?

Back

'm' stands for the slope (rate of change).

Front

In slope-intercept form, what does 'b' stand for?

Back

'b' stands for the y-intercept.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line ascends from left to right.