12/4 8.16 CW/HW y=mx+b (SOL 8.16)

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of the y-value with respect to the x-value in a linear equation of the form y = mx + b.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change as the y-value changes.

Front

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

Back

The slope is the coefficient of x (m) in the equation.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How can you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the constant term (b) in the equation.

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).