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 (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, representing the value of y when x = 0.

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 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 = -3x + 5?

Back

The y-intercept of the line is 5.

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 = -rac{1}{2}x + 3?

Back

The slope of the line is -rac{1}{2}.

Front

What is the y-intercept of the line represented by the equation y = 2x - 4?

Back

The y-intercept of the line is -4.