Writing equations in slope-intercept form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you identify a positive slope on a graph?

Back

A positive slope rises from left to right.

Front

How do you identify a negative slope on a graph?

Back

A negative slope falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

It indicates that for every 1 unit increase in x, y decreases by 3 units.

Front

How do you convert the equation y = 2x + 5 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 2 and b = 5.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope is -4.