Slope Intercept Form

Front

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

Back

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

Front

What does the slope 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 is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you identify the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

What is the y-intercept in the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = (2/3)x - 3.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

The slope is 3.

Front

How can you determine if a slope is undefined?

Back

A slope is undefined if the line is vertical, meaning it does not change in the x-direction.