Slope & Y-intercept from a Graph

Front

What does the 'm' in the slope-intercept form of a linear equation (y = mx + b) represent?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' in the slope-intercept form of a linear equation (y = mx + b) represent?

Back

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

Front

How can you identify the slope from a graph?

Back

The slope can be identified as the ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Front

What is the formula to calculate 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 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

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

To convert, solve for y in terms of x: y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope of the line is -3.

Front

What is the y-intercept of the line represented by the equation y = -5x + 4?

Back

The y-intercept of the line is 4.