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 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 is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

In the equation y = -2x + 5, what is the y-intercept?

Back

5

Front

In the equation y = 1/2x + 8, what is the slope?

Back

1/2

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2

Front

In the equation y = -4x - 5, what is the y-intercept?

Back

-5

Front

In the equation y = 2x + 3, what is the slope?

Back

2

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.