8.3.b: 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

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

Convert the equation y - 2x = 8 to slope-intercept form.

Back

y = 2x + 8.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = 4x - 1?

Back

The y-intercept is -1.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

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

Back

The slope is 1/2.