Identifying Slope and Y-Intercept

Front

What is the SLOPE?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It is often denoted by 'm' in the slope-intercept form of a linear equation.

Front

In the equation y = mx + b, what does 'b' represent?

Back

The 'b' in the equation y = mx + b represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y = 3x + 8?

Back

The y-intercept is 8, which means the line crosses the y-axis at the point (0, 8).

Front

Identify the slope in the equation y = 2x + 6.

Back

The slope is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

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

What is the slope of the line represented by the equation y = -1x + 2?

Back

The slope is -1, indicating that the line decreases by 1 unit in y for every 1 unit increase in x.

Front

In the equation y = 3x + 8, what is the slope?

Back

The slope is 3.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.