Answer:
[tex]y=4x+3[/tex]
Step-by-step explanation:
The slope intercept form of a line is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y intercept.
We have the expression: [tex](13x-5x)+12-2y=6[/tex]
In order to find the slope intercept form we have to clear [tex]y[/tex].
Then,
[tex](13x-5x)+12-2y=6\\(8x)+12-2y=6[/tex]
We have to subtract 8x from both sides of the equation,
[tex]8x+12-2y=6\\8x+12-2y-8x=6-8x\\12-2y=6-8x[/tex]
Now we have to subtract 12 from both sides,
[tex]12-2y=6-8x\\12-2y-12=6-8x-12\\-2y=-6-8x[/tex]
Finally we have to divide both sides in (-2),
[tex]-2y=-6-8x\\\frac{-2y}{(-2)} =\frac{-(6+8x)}{-2}\\\\y=\frac{6}{2}+\frac{8x}{2}\\\\ y=3+4x[/tex]
Then the slope intercept form of [tex](13x-5x)+12-2y=6[/tex] is:
[tex]y=4x+3[/tex]
Where m=4 is the slope and b=3 is the y-intercept.
