Key Features of Linear Equations

Front

What is the definition of SLOPE?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is the Y-INTERCEPT of a graph?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

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

Back

The slope is -2.

Front

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

Back

The slope is 0, indicating a horizontal line.

Front

What is the slope of the line represented by the equation x = 5?

Back

The slope is undefined, indicating a vertical line.

Front

How can you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The equation is given by y = mx + b, where m is the slope and b is the y-intercept.