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 (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept (b) in the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

If a line has a slope of 7/5, what does this indicate about its steepness?

Back

A slope of 7/5 indicates that for every 5 units moved horizontally, the line rises 7 units vertically, making it a steep line.

Front

What does a zero slope indicate about a line?

Back

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

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 does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant and y can change.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula m = rise/run.

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept can represent initial values in real-world scenarios, such as starting amounts in a financial context.