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

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line falls steeply as it moves from left to right.

Front

How do you convert the equation y = 2x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 2 and b = 5.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

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 = -1/3x - 2?

Back

The slope of the line is -1/3.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of the line represented by the equation y = 7x + 8?

Back

The slope of the line is 7.