Understanding 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 does the variable 'm' represent in the equation y=mx+b?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y=mx+b?

Back

The variable 'b' represents the y-intercept of the line.

Front

How do you determine if a slope is positive?

Back

A slope is positive if the line rises from left to right.

Front

How do you determine if a slope is negative?

Back

A slope is negative if the line falls from left to right.

Front

What is the slope of the line represented by the equation y=¾x + 5?

Back

The slope is ¾.

Front

What is the slope of the line represented by the equation y=9 - ½x?

Back

The slope is -½.

Front

What is the y-intercept of the equation y=-3x - 5?

Back

The y-intercept is -5.

Front

Which equation has a positive slope: y=2x + 3 or y=-4x + 1?

Back

y=2x + 3 has a positive slope.

Front

Which equation has a negative slope: y=⅛x - 16 or y=4x + 2?

Back

y=⅛x - 16 has a negative slope.