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 (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

How do you determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

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

Back

The slope is 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

It indicates that the line is horizontal.

Front

How can 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 equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation is y = -2x + 5.

Front

How do you convert the equation y = 3x - 4 into slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope is -1/2.