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Answer:
The equation of the line:
[tex]y+4x = 9[/tex]
At x = -1, the value of y = 13
At x = 0, the value of y = 9
At x = 3, the value of y = -3
Step-by-step explanation:
Given the equation
[tex]y+4x = 9[/tex]
solving for y
[tex]y+4x = 9[/tex]
subtracting 4x to both sides
[tex]y+4x-4x = 9-4x[/tex]
[tex]y = 9-4x[/tex]
Therefore, the value of y is:
[tex]y = 9-4x[/tex]
Now, solving x = -1, 0 and 3
substituting x = -1
[tex]y = 9-4x[/tex]
[tex]y = 9 - 4(-1)[/tex]
[tex]y = 9+4[/tex]
[tex]y = 13[/tex]
substitute x = 0
[tex]y = 9-4x[/tex]
[tex]y = 9 - 4(0)[/tex]
[tex]y = 9-0[/tex]
[tex]y = 9[/tex]
substitute x = 3
[tex]y = 9-4x[/tex]
[tex]y = 9-4(3)[/tex]
[tex]y = 9-12[/tex]
[tex]y = -3[/tex]
Therefore,
at x = -1, the value of y = 13
at x = 0, the value of y = 9
at x = 3, the value of y = -3