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 the equation y = mx + b?

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 the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning when x = 0.

Front

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

Back

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

Front

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

Back

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

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 slope of the line represented by the equation y = 4x + 1?

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 -4?

Back

The equation would be y = 1x - 4 or simply y = x - 4.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope of the line is -3.