Slope and Slope Intercept Form

Front

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

Back

The slope (m) represents the rate of change of y with respect to x in the equation y = mx + b.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented in the equation y = mx + b.

Front

Identify the slope in the equation: y = 4x + 2.

Back

4

Front

Identify the y-intercept in the equation: y = -4x - 5.

Back

-5

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 (-1, -9) and (5, -6).

Back

1/2

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

If m = 3 and b = 6, what is the slope-intercept equation?

Back

y = 3x + 6.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.