Slope/y-intercept

Front

What is the y-intercept of the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the equation y = -4x + 2?

Back

The y-intercept is 2.

Front

How can you find the slope from 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 significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation when the independent variable (x) is zero.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you convert the general form of a linear equation to slope-intercept form?

Back

To convert Ax + By + C = 0 to slope-intercept form (y = mx + b), solve for y.