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 is the slope in the equation y=3x-5?

Back

The slope (m) is 3.

Front

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

Back

The y-intercept (b) is 5.

Front

How do you identify a positive slope in a linear equation?

Back

A positive slope means that as x increases, y also increases. In the equation y=mx+b, if m > 0, the slope is positive.

Front

How do you identify a negative slope in a linear equation?

Back

A negative slope means that as x increases, y decreases. In the equation y=mx+b, if m < 0, the slope is negative.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative y-intercept indicate?

Back

A negative y-intercept means the line crosses the y-axis below the origin (0,0).

Front

What does a positive y-intercept indicate?

Back

A positive y-intercept means the line crosses the y-axis above the origin (0,0).

Front

If the equation is y=9-½x, what is the slope?

Back

The slope (m) is -½.

Front

Which equation has a negative y-intercept: y=3x+5 or y=-3x-5?

Back

y=-3x-5 has a negative y-intercept.