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

If a line has a slope of 3, what does this mean?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

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 equation of a line with a slope of 2 and a y-intercept of -1?

Back

The equation is y = 2x - 1.

Front

How can you identify the slope from the equation y = -4x + 5?

Back

The slope is -4, which indicates the line decreases as x increases.

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope is 1/2.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is 0.

Front

If a line is vertical, what is its slope?

Back

The slope of a vertical line is undefined.