Slope Intercept Form

Front

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

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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If m = 2 and b = 3, what is the equation of the line?

Back

y = 2x + 3

Front

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

Back

The slope is -4.

Front

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

Back

The slope is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is a constant, indicating a horizontal line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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