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. A positive slope means the line rises from left to right, while a negative slope means it falls.

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 identify a positive slope from an equation?

Back

A positive slope occurs when the coefficient of x (m) is greater than 0.

Front

How do you identify a negative slope from an equation?

Back

A negative slope occurs when the coefficient of x (m) is less than 0.

Front

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

Back

The slope is -2.

Front

What is the slope of the line represented by the equation y= (1/4)x - 3?

Back

The slope is 1/4.

Front

If a line has a slope of 0, what does that mean?

Back

It means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

It means the line is vertical.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.