The linear equation is;
[tex]y\text{ =6x + 4}[/tex]Here, we want to get the linear equation between the variables on the table
The general form is;
[tex]y\text{ = mx + b}[/tex]where m is the slope and b is the y-intercept
The y-intercept is the the value of y when x is 0
As we can see from the table, the value of y-intercept is 4
So, we have the partially complete equation as;
[tex]y\text{ = mx + 4}[/tex]To get the value of m, we can substitute any point
Let us use the point (4,28)
We simply substitute 4 for x and 28 for y
Thus, we have;
[tex]\begin{gathered} 28\text{ = 4(m) + 4} \\ 4m\text{ = 28-4} \\ 4m\text{ = 24} \\ m\text{ = }\frac{24}{4}\text{ = 6} \end{gathered}[/tex]The equation is thus;
[tex]y\text{ = 6x + 4}[/tex]
