Slope-Intercept Form

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 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

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

Back

The slope is 2.

Front

Back

The y-intercept is 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

Back

Front

Back

The y-intercept is 2.