Slope-Intercept Form and Slope

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

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 does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

What is the y-intercept in the equation y = -3x + 5?

Back

The y-intercept is 5.

Front

Convert the equation 5y - 10x = 20 to slope-intercept form.

Back

y = 2x + 4.