Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What do the variables m and b represent in the slope-intercept form?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

How do you find the slope of a line using two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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

How do you calculate the y-intercept of a line given its equation?

Back

Set x = 0 in the equation and solve for y.

Front

If the slope of a line is 0, what does this mean about the line?

Back

The line is horizontal.

Front

If the slope is undefined, what does this mean about the line?

Back

The line is vertical.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 4?

Back

The y-intercept is 4.