Find the x- and y-intercepts of the graph of x, minus, y, equals, 17x−y=17. State each answer as an integer or an improper fraction in simplest form.

Respuesta :

Answer:

  • x-intercept: 17
  • y-intercept: -17

Step-by-step explanation:

You want the x- and y-intercepts of the graph of the equation x - y = 17.

Intercepts

Each intercept is found by setting the other variable(s) to zero.

X-intercept

The x-intercept is the solution to ...

  x - 0 = 17

  x = 17

The x-intercept is 17.

Y-intercept

The y-intercept is the solution to ...

  0 - y = 17

  y = -17 . . . . . . multiply by -1

The y-intercept is -17.

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Additional comment

The intercepts are easily found when the equation is in standard form:

  ax + by = c

The x-intercept is c/a.
The y-intercept is c/b.

Here, those are 17/1=17 and 17/-1=-17, respectively.

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