Finding x- and y- intercept

Front

What is the x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is 0. For example, if the x-intercept is at (4, 0), it means the graph crosses the x-axis at x = 4.

Front

What is the y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. At this point, the value of x is 0. For example, if the y-intercept is at (0, -5), it means the graph crosses the y-axis at y = -5.

Front

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

Back

To find the x-intercept of a linear equation, set y = 0 and solve for x. For example, in the equation y = 2x - 4, setting y to 0 gives 0 = 2x - 4, leading to x = 2.

Front

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

Back

To find the y-intercept of a linear equation, set x = 0 and solve for y. For example, in the equation y = 3x + 6, setting x to 0 gives y = 6, so the y-intercept is (0, 6).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system. The first number represents the x-coordinate, and the second number represents the y-coordinate. For example, (3, 2) means x = 3 and y = 2.

Front

What does it mean if a graph has no x-intercept?

Back

If a graph has no x-intercept, it means that the graph does not cross the x-axis. This can occur in cases where the equation represents a horizontal line above or below the x-axis.

Front

What does it mean if a graph has no y-intercept?

Back

If a graph has no y-intercept, it means that the graph does not cross the y-axis. This can occur in cases where the equation represents a vertical line.

Front

What is the significance of the x- and y-intercepts in graphing?

Back

The x- and y-intercepts are significant because they provide key points that help in sketching the graph of a function. They indicate where the graph crosses the axes, which can help determine the shape and direction of the graph.

Front

How can you determine the x- and y-intercepts from a graph?

Back

To determine the x- and y-intercepts from a graph, look for the points where the graph crosses the x-axis (x-intercept) and y-axis (y-intercept). Read the coordinates of these points directly from the graph.

Front

What is the formula for finding the x-intercept of a quadratic equation?

Back