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 represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating 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, 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) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope of the line is 3.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation is y = -2x + 5.