slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in the slope-intercept form?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x - 5?

Back

The slope of the line is 4.

Front

How can you determine if a line has a zero slope?

Back

A line has a zero slope if it is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you convert the equation y = -2x + 3 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is -2 and the y-intercept is 3.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -4?

Back

The equation of the line is y = 1x - 4 or y = x - 4.