Identify Slope and Y-Intercept from a Graph

Front

What is the definition of the y-intercept in a graph?

Back

The y-intercept is the point where the graph of a function intersects the y-axis, indicating the value of y when x is 0.

Front

How do you identify the slope of a line from a graph?

Back

The slope of a line is identified by the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula for calculating 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 a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant of the line.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

How can you find the y-intercept from the equation of a line?

Back

The y-intercept can be found by setting x to 0 in the equation of the line and solving for y.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept of the equation y = 2x + 5 is 5.

Front

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

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall as x changes.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.