Graphing using Intercepts

Front

What is the y-intercept of a linear equation?

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 of the equation 3x + y = 5?

Back

Set x = 0. The equation becomes y = 5, so the y-intercept is (0, 5).

Front

What is the x-intercept of a linear equation?

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 of the equation 3x + 8y = 24?

Back

Set y = 0. The equation becomes 3x = 24, so x = 8, and the x-intercept is (8, 0).

Front

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

Back

Set x = 0. The equation becomes y = -2, so the y-intercept is (0, -2).

Front

How do you graph a line using intercepts?

Back

Find the x-intercept and y-intercept, plot these points on the graph, and draw a line through them.

Front

What is the significance of intercepts in graphing?

Back

Intercepts provide key points that help in accurately plotting the line on a graph.

Front

If a line has a y-intercept of 4, what does this mean?

Back

It means the line crosses the y-axis at the point (0, 4).

Front

What is the x-intercept of the line represented by the equation y = 3?

Back

The x-intercept is (x, 0) where y = 0. Since y = 3 is a horizontal line, it has no x-intercept.

Front

How do you determine if a line has no y-intercept?

Back

A vertical line (e.g., x = a) has no y-intercept because it never crosses the y-axis.