Graphing Using 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

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 line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

The slope is 3.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical.

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

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

Back

The slope is -4.