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.

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.

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).

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.