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

How do you identify the slope from the equation y = 3x + 4?

Back

The slope is the coefficient of x, which is 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 y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables in real-world scenarios.

Front

If the slope of a line is 0, what can be said about the line?

Back

The line is horizontal and does not rise or fall.