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Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.




Where does the graph intersect the y-axis (answer should be an ordered pair)?

Respuesta :

Given:

The equation is

[tex]1.5x+4.5y=18[/tex]

To find:

The y-intercept (in ordered pair).

Solution:

We have,

[tex]1.5x+4.5y=18[/tex]

Putting x=0, we get

[tex]1.5(0)+4.5y=18[/tex]

[tex]0+4.5y=18[/tex]

[tex]4.5y=18[/tex]

Divide both sides by 4.5.

[tex]y=\dfrac{18}{4.5}[/tex]

[tex]y=4[/tex]

So, y-intercept is 4.

Therefore, the graph intersect the y-axis at (0,4).

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