y intercept

Front

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

Back

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

Front

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

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept can represent the initial value or starting point of a situation being modeled, such as the starting amount of money in a financial scenario.

Tags

CCSS.HSF.LE.B.5

Front

If a line has a y-intercept of (0, 3), what does this indicate about the line?

Back

It indicates that when x = 0, the value of y is 3, meaning the line crosses the y-axis at the point (0, 3).

Front

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

Back

The y-intercept is -5, which can be found by setting x = 0 in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

To determine the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

What is the significance of a negative y-intercept?

Back

A negative y-intercept indicates that the line crosses the y-axis below the origin, meaning the initial value is negative.

Tags

CCSS.HSF.LE.B.5

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation, 'b' represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a y-intercept of (0, -2), what does this tell us about the line's position?

Back

It tells us that the line crosses the y-axis at the point (0, -2), indicating that the value of y is -2 when x is 0.

Front

What is the y-intercept of the equation y = -x + 4?

Back

The y-intercept is 4, which can be found by setting x = 0 in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3