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 'm' represent in the slope-intercept form y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

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

Back

The slope of the line is 4.

Front

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

Back

The y-intercept is 2.

Front

How can you graph the equation y = 1/3x - 2?

Back

Start at the y-intercept (0, -2) and use the slope (1/3) to find another point by going up 1 unit and right 3 units.

Front

What is the relationship between the slope and the steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line, while a slope of 0 indicates a horizontal line.

Front

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

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.