Intercepts

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from the equation of a line?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

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 (x, 0).

Front

How do you find the x-intercept from the equation of a line?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept can represent the starting value of a situation when x = 0.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine both intercepts from a linear equation?

Back

Set y = 0 to find the x-intercept and set x = 0 to find the y-intercept.

Front

What is the relationship between the x- and y-intercepts in a linear equation?

Back

The x- and y-intercepts are points on the graph of the line that help define its position.

Front

If a line has a y-intercept of (0, 5), what does this mean?

Back

It means the line crosses the y-axis at the point (0, 5).