Graphing using Intercepts

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, which occurs when the x value is 0.

Front

How do you find the y-intercept from an equation?

Back

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

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, which occurs when the y value is 0.

Front

How do you find the x-intercept from an equation?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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 graph a linear equation using intercepts?

Back

To graph a linear equation using intercepts, find the x-intercept and y-intercept, plot these points, and draw a line through them.

Front

What are the coordinates of the x-intercept for the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

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

Back

The y-intercept is (0, -6).

Front

What is the significance of intercepts in graphing?

Back

Intercepts provide key points that help in accurately plotting the graph of a linear equation.