Linear Functions (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

What is the y-intercept of a linear function?

Back

The y-intercept is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

Convert the equation -10x + 2y = 14 to slope-intercept form.

Back

y = 5x + 7.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Front

Find the slope of the line represented by the equation 2x + 2y = 6.

Back

The slope is -1.

Front

Convert the equation 4x + 2y = -12 to slope-intercept form.

Back

y = -2x - 6.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

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.