Q2. - Algebra 2

Question

Name the $x$-and $y$-intercepts of the graph shown at the right.

Step-by-Step Solution

Answer

The x-intercept of the given graph is 5 and the y-intercept is -2.

Step 1 – Definition of intercepts.

The intersection point of x-axis and the graph is known as x-intercept.

The intersection point of y-axis and the graph is known as y-intercept.

Step 2 – Given information.

The given graph is:

Step 3 – Intercepts of the given graph.

From the given graph it is clear that the graph intersects the x-axis at the point which is 5 units right from the origin. So, the x-intercept of the given graph is 5 because the graph crosses the x-axis at point $\left(5,0\right)$.

The graph intersects the y-axis at the point which is 2 units down from the origin. The point lies on the negative y-axis. So, the y-intercept of the given graph is -2 because the graph crosses the y-axis at point $\left(0,-2\right)$.

Thus, the x-intercept of the given graph is 5 and the y-intercept is -2.