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31-10-2022
Mathematics

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The y-intercept of the line whose equation is 2x - 3y = 6 is-236

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RasheemK472158 RasheemK472158

31-10-2022

Solution

We are given the equation

[tex]2x-3y=6[/tex]

Basically, in order to find the y - intercept, we only need to put x = 0

[tex]\begin{gathered} 2x-3y=6 \\ 2(0)-3y=6 \\ 0-3y=6 \\ 3y=-6 \\ divide\text{ through by 3} \\ \frac{3y}{3}=-\frac{6}{3} \\ y=-2 \end{gathered}[/tex]

Therefore, the answer is

[tex]-2[/tex]

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