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 (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, representing the value of y when x = 0.

Front

If a line has a slope of 3 and a y-intercept of -1, what is the equation of the line?

Back

y = 3x - 1

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 7.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If the slope of a line is undefined, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

y = -1x + 4 or y = -x + 4.