Respuesta :

Given:

[tex]3x-5y=-15[/tex]

To find:

The intercepts

Explanation:

We know that x-intercept happens when y = 0.

So, plugging in the value y = 0 in the given equation we get

[tex]\begin{gathered} 3x=-15 \\ x=-5 \end{gathered}[/tex]

So, the x-intercept is x = -5.

We know that the y-intercept happens when x = 0.

So, plugging in the value x = 0 in the given equation we get

[tex]\begin{gathered} -5y=-15 \\ y=3 \end{gathered}[/tex]

So, the y-intercept is y = 3.

Final answer:

• The x-intercept is x = -5.

,

• The y-intercept is y = 3.

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