Graphing Linear Equations

Front

What is the y-intercept of a linear equation?

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if a line has a positive slope?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Front

What does it mean if a line has a negative slope?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

How can you determine the y-intercept from a graph?

Back

The y-intercept can be determined by locating the point where the line intersects the y-axis.

Front

In the equation y = -3x + 7, what is the y-intercept?

Back

The y-intercept is 7.

Front

What is the significance of the origin in graphing?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.