Graph 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 = 3x + 2?

Back

The slope (m) is 3.

Front

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

Back

The y-intercept (b) is 5.

Front

How do you find the slope from 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 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 equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

How do you convert the equation y = 1/2x to slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b, where m = 1/2 and b = 0.

Front

What is the slope of the line represented by the equation y = -4x + 3?

Back

The slope (m) is -4.