help :(( if the point (-3,-4) lies on a graph of the equation 3y=ax+6, then value of a
![help if the point 34 lies on a graph of the equation 3yax6 then value of a class=](https://us-static.z-dn.net/files/da3/1a6adb3649b8934447b938c12a033f35.png)
Answer:
The value of [tex]a[/tex] is 6.
Step-by-step explanation:
Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:
[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)
To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]
[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]
[tex]-4 = -a + 2[/tex]
[tex]a = 6[/tex]
The value of [tex]a[/tex] is 6.