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 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

How can you identify the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation y = mx + b.

Front

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

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls 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 y-intercept of the line represented by the equation y = -5x + 2?

Back

The y-intercept of the line is 2.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 5?

Back

The equation is y = -1x + 5 or y = -x + 5.

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 does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.