Graphing Linear Equations "Flashcard"

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Front

What type of slope indicates a line that rises from left to right?

Back

Positive slope.

Front

What type of slope indicates a line that falls from left to right?

Back

Negative slope.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope between the points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

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 = -4x + 1?

Back

The slope is -4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.