Graphing Linear Equations

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 letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

Front

What is the y-intercept of the equation y = 2/3x - 3?

Back

The y-intercept is -3.

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 is an ordered pair that represents a y-intercept?

Back

An ordered pair that represents a y-intercept has the form (0, b), where b is the y-coordinate.

Front

Convert the point-slope form y - y1 = m(x - x1) to slope-intercept form.

Back

To convert, solve for y: y = mx - mx1 + y1.

Front

What is the point-slope form of a line with a slope of -2 passing through the point (7, 10)?

Back

The point-slope form is y - 10 = -2(x - 7).

Front

What does the term 'x-intercept' refer to?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

How can you determine if a point (x, y) lies on the line represented by the equation y = mx + b?

Back

Substitute x into the equation to see if the resulting y equals the y-coordinate of the point.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.