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To find x-intercept just need to put 0((zero)) instead of y in the equation.
Thus :
[tex] - 6x + 3(0) = 18.9[/tex]
[tex] - 6x + 0 = 18.9[/tex]
[tex] - 6x = 18.9[/tex]
Divided sides by -6
[tex] \frac{ - 6}{ - 6}x = \frac{18.9}{ - 6} \\ [/tex]
[tex]x = - 3.15[/tex]
This is the x-intercept.
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To find y-intercept just need to put 0((zero)) instead of x in the equation.
Thus :
[tex] - 6(0) + 3y = 18.9[/tex]
[tex]0 + 3y = 18.9[/tex]
[tex]3y = 18.9[/tex]
Divided sides by 3
[tex] \frac{3}{3}y = \frac{18.9}{3} \\ [/tex]
[tex]y = 6.3[/tex]
This is the y-intercept.
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