Graphing and Finding equations of lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the slope of -5/3 indicate about a line?

Back

A slope of -5/3 indicates that for every 3 units you move to the right (positive x-direction), the line moves down 5 units (negative y-direction).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

What is the slope of the line represented by the equation y = -4x + 10?

Back

The slope of the line is -4.

Front

If a line has a slope of 3/2, what does this mean?

Back

A slope of 3/2 means that for every 2 units you move to the right, the line moves up 3 units.

Front

How do you determine the y-intercept from the equation of a line?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.