Question

Find the x- and y-intercepts of the graph of x-y=19. State each answer as an integer or an improper fraction in simplest form.

Answer 1

Given:

The equation of the graph is, x - y = 19.

The objective is to find the x-intercept and y-intercept of the graph.

Explanation:

At x-intercept the value of y will be zero.

In the given equation, at y = 0,

$\begin{gathered} x-0=19 \\ x=19 \end{gathered}$

Thus, the coordinate is (19,0).

Similarly, at y-intercept the value of x will be zero.

In the given equation, at x = 0,

$\begin{gathered} 0-y=19 \\ y=-19 \end{gathered}$

Thus, the coordinate is (0,-19).

Hence, the x-intercept is (19,0) and the y-intercept is (0,-19).