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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

The y-intercept is 2, which is the point where the line crosses the y-axis.

Front

How do you convert the equation 5x + 3y = 12 to slope-intercept form?

Back

Rearranging gives y = -5/3x + 4.

Front

What does the term 'rate of change' refer to in a linear function?

Back

The rate of change refers to the slope of the line, indicating how much y changes for a unit change in x.

Front

What is the slope of the line represented by the equation y = 4/3x + 1?

Back

The slope is 4/3.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning y remains constant as x changes.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.