Graphing Slope Intercept Form Check

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) indicate in a linear equation?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How do 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

If the slope of a line is 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

Front

What is the y-intercept of the equation y = -2x + 3?

Back

The y-intercept is 3.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing. If the slope is negative, the line is decreasing.

Front

What does a slope of -1 indicate about a line?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant.

Front

What is the graph of y = 0?

Back

The graph of y = 0 is a horizontal line that intersects the y-axis at 0.