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 slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

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

If a line has a positive slope, what does that indicate about the line's direction?

Back

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

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4, which means the line crosses the y-axis at (0, 4).

Front

How can you determine if a line is horizontal or vertical from its equation?

Back

A horizontal line has a slope of 0 (e.g., y = b), while a vertical line has an undefined slope (e.g., x = a).

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2, indicating the line falls as it moves from left to right.

Front

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

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.