Graphing Lines 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

What does the y-intercept represent in a graph?

Back

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

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 the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

How can you find the slope between 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 y-intercept of the equation y = -2x + 5?

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed or cost per item.

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.