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give me an example of linear function and solution ?

Sagot :

[tex]1) \\\\ function \ linear \\\\ y= 2x + 6, \\\\2.)\\\\ 8x+4y = 16[/tex]

[tex] 1)\\y=2x+6 \\x=-5, \\ y=2\cdot (-5) +6=-10+6=-4\\A(-5,-4)\\\\x=-3\\y=2\cdot -3+6=-6+6=0\\B(-3,0)\\\\x=0\\y=2\cdot 0+6=6\\C(0,6)\\\\x=2\\y=2\cdot 2+6=4+6=10\\D(2,10)\\ \\The \ graph \ is \ a \ straight \ line \ sloping \ upwards \ to \ the \ right \\ as \ the \ value \ of \ x \ increases. [/tex]

[tex] 2)\\ 8x+4y = 16 \\4y=-8x+16\ \ / :4 \\y=-2x+4 \\\\x=-2\\y=-2\cdot (-2)+4=4+4=8\\A(-2,8)\\\\x= 0\\y=-2\cdot 0+4=4\\B(0,4)\\\\x= 2\\y=-2\cdot 2+4=-4+4=0\\C(2,0)\\\\x=4\\y=-2\cdot 4+4=-8+4=-4\\D(4,-4)\\ \\ The \ graph \ is \ a \ straight \ line \ sloping \ downwards \ to \ the \ right \\ as \ the v\ alue \ of \ x \ increases. [/tex]


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