Rate of change and Y-intercepts

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you find the y-intercept from a graph?

Back

Look for the point where the line intersects the y-axis; the y-coordinate of this point is the y-intercept.

Front

What does the initial value represent in a linear relationship?

Back

The initial value is the y-intercept, indicating the value of y when x is zero.

Front

What is the formula for a linear equation?

Back

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

Front

What does the slope (rate of change) indicate in a linear equation?

Back

The slope indicates how much y changes for a unit change in x; it is represented by 'm' in the equation y = mx + b.

Front

How can you determine the rate of change from a linear equation?

Back

The rate of change can be found by identifying the coefficient of x in the equation y = mx + b.

Front

If a linear equation is y = 3x + 2, what is the y-intercept?

Back

The y-intercept is 2.

Front

If a linear equation is y = -4x + 5, what is the rate of change?

Back

The rate of change is -4.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.