Answer:
[tex]\bold{y = 3x + 2}[/tex]
Step-by-step explanation:
In a linear equation, [tex]y=mx+b[/tex], the "[tex]m[/tex]" is identified as the slope, while the b is where you begin, the coefficient: y-intercept.
Now, with that said, let us look at each option, and see which one matches the linear equation.
Option 1
One over three x = y - 3
[tex]\frac{1}{3}x=y-3[/tex]
As you can see, the [tex]y[/tex] should be in front of the equation. And the [tex]-3[/tex] should be next to [tex]x[/tex].
Option 2
[tex]y = 3x + 2[/tex]
This equation is a linear equation: the [tex]y[/tex] is in the right place, the coefficient is right next to [tex]x[/tex], and where you begin is at the right place. If you look at this equation, and the linear equation, you will notice they both match.
Option 3
[tex]y = 6\times2[/tex]
The equation does not make sense in terms of linear equations, first off all. There is nothing to show it is a linear equation, except from the [tex]y[/tex]. It is the same thing as just adding two numbers and putting an equal sign and [tex]y[/tex] in front of it, which is not a linear equation.
Option 4
y = two over three x
[tex]y = \frac{2}{3}x[/tex]
There is no coefficient in this equation, therefore, it is not a linear equation.
