Slope Intercept Form

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) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

How do you find the y-intercept from the equation y = -2/5x - 4?

Back

The y-intercept is -4, which means the line crosses the y-axis at (0, -4).

Front

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

Back

The slope of the line is 2/3.

Front

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

Back

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

Front

What is the ordered pair for the y-intercept of the equation y = -2/3x + 2?

Back

The ordered pair for the y-intercept is (0, 2).

Front

If the slope is 3 and the y-intercept is 6, what is the equation of the line?

Back

The equation of the line is y = 3x + 6.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.