finding slope of a line (Slope-intercept form)

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation 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 in the slope-intercept form?

Back

The y-intercept is the value of y when x is 0; it is represented by b in the equation y = mx + b.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

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 positive slope, what does that indicate about its direction?

Back

A positive slope indicates that as x increases, y also increases; the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

A negative slope indicates that as x increases, y decreases; the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope of the line is -3.