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 = mx + b?

Back

The slope is represented by the coefficient m in the equation.

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

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

Front

What is the y-intercept in the equation y = 3x + 5?

Back

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

Front

How can you determine if a slope is zero?

Back

A slope is zero if the line is horizontal, meaning there is no change in y as x changes.

Front

What type of slope does the equation y = -2x + 1 have?

Back

The slope is negative, as indicated by the -2 coefficient.

Front

How do you find 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, such as speed, cost per item, or growth rate.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in vertical lines, where x does not change and the line goes straight up and down.