y-intercepts

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of the y-intercept.

Front

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

Back

To find the y-intercept from a linear equation in the form y = mx + b, simply identify the value of b.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

If a line has a y-intercept of b = 4, what does this mean?

Back

It means that the line crosses the y-axis at the point (0, 4).

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept can represent the starting value of a situation, such as initial cost or starting population.

Front

How do you graph a line using the y-intercept?

Back

Start by plotting the y-intercept on the y-axis, then use the slope to determine another point on the line.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, represented as the point (0, 3).

Front

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

Back

The y-intercept is -2, represented as the point (0, -2).

Front

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

Back

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