20 ?'s Identify Slope and Y-Intercept from an Equation

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

The slope (m) is the coefficient of x in the equation, indicating the steepness and direction of the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -5x + 1?

Back

The y-intercept is 1.

Front

How can you find the y-intercept from the equation y = 4x - 7?

Back

Set x to 0 in the equation, resulting in y = -7, so the y-intercept is -7.

Front

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

Back

The slope is 1/2.

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does it mean if the slope is undefined?

Back

An undefined slope means the line is vertical, indicating that x does not change as y changes.