Graphing using Intercepts

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, y).

Front

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

Back

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

Front

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

Back

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

Front

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

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

How can you determine the intercepts from the equation 3x + 4y = 24?

Back

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

Front

What are the coordinates of the y-intercept for the equation 2x + 3y = 6?

Back

The y-intercept is (0, 2).

Tags

CCSS.HSF-IF.C.7A

Front

What are the coordinates of the x-intercept for the equation 5x - 2y = 10?

Back

The x-intercept is (2, 0).

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts provide key points that help in sketching the graph of the equation.

Tags

CCSS.HSF-IF.C.7A