Graphing Linear Equations

Front

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

Back

The y-intercept is 7.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change or growth rate of the line.

Front

What is the slope of the equation y = -3x - 9?

Back

The slope is -3.

Front

If m=3 and b=6, what is the slope-intercept form of the equation?

Back

The equation is y = 3x + 6.

Front

What is the general form of a linear equation?

Back

The general 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 a positive slope indicate about a linear graph?

Back

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

Front

What does a negative slope indicate about a linear graph?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.