graphing linear equations

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope is 2.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of the equation y = -3x + 7?

Back

The y-intercept is 7.

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

Back

The y-intercept is 1.

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 the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

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

Back

The slope is -2.