Slope Intercept

Front

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

Back

The slope-intercept form of a linear equation 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 = 3/5x - 2?

Back

The slope is the coefficient of x, which is 3/5.

Front

What does a negative slope indicate about a line?

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Front

What is the y-intercept in the equation y = 3/5x - 2?

Back

The y-intercept is -2, which is the value of y when x is 0.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) over the run (change in x).

Front

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

Back

The slope represents the rate of change, which can be used to understand relationships between variables in various contexts, such as speed, cost, or growth.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is zero.