Slope Intercept Form Part 2

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, which is 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 a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the line represented by the equation Y = 3x + 5?

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

What is the slope of the line represented by the equation Y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}, indicating that the line decreases as x increases.

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 it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal and does not rise or fall as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.