Graphing Lines (slope-intercept)

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 slope-intercept form of a linear equation (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 from two points?

Back

To find the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

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 slope-intercept form (y = mx + b).

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is -1/22, what does this indicate about the line?

Back

A slope of -1/22 indicates that for every 22 units you move to the right (positive x-direction), the line moves down 1 unit (negative y-direction), showing a gentle downward slope.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is (0, -5). This means the line crosses the y-axis at -5.

Front

How do you determine the y-intercept from an equation?

Back

To find the y-intercept from an equation in slope-intercept form (y = mx + b), identify the value of b, which is the y-intercept.

Front

What is the slope of the line represented by the equation y = 6x - 4?

Back

The slope of the line is 6.

Front

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

Back

A slope of 2 means that for every 1 unit you move to the right (positive x-direction), the line moves up 2 units (positive y-direction).

Front

What does a slope of 0 indicate about a line?

Back

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