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, set x = 0. The value of y at this point is the y-intercept.

Front

What does a positive y-intercept indicate about a graph?

Back

A positive y-intercept indicates that the line crosses the y-axis above the origin (0,0).

Front

What does a negative y-intercept indicate about a graph?

Back

A negative y-intercept indicates that the line crosses the y-axis below the origin (0,0).

Front

If a line has a y-intercept of 4, what is the point on the graph?

Back

The point on the graph is (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.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

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

Front

What is the slope of a line with a positive y-intercept and a positive slope?

Back

The slope is positive, indicating that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line with a positive y-intercept and a negative slope?

Back

The slope is negative, indicating that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3