Y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line on a graph.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

If the slope is positive, what does that indicate about the line?

Back

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

Front

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

Back

The slope is -2.

Front

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

Back

The y-intercept is -1.

Front

How can you determine the equation of a line given its slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Parallel lines have the same slope but different y-intercepts.