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 from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope is positive, what does that indicate about the line?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope of the line is 4.

Front

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

Back

The y-intercept of the line is 5.

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = 1x - 2 or y = x - 2.

Front

What is the slope of the line represented by the equation y = 0.5x + 1?

Back

The slope of the line is 0.5.