Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
The equation is in standard form already, which is typically mathematically expressed as, [tex]Ax+By=C[/tex]; however, They want that equation to be expressed in slope-intercept form. This is commonly known as: [tex]y=mx+b[/tex].
To get it in this form, we have to isolate y, meaning that we have to get it on one side of the equation, just like the slope-intercept form states.
So, let's do that! We know that -2y is 'By' from the standard form equation is needs to be by itself, so all we have to do is subtract 'Ax'; or in this case, 3x on both sides of the equation to get -2y by itself, leaving us one step closer to finishing the problem!
We now have the following equation: [tex]-2y=-3x-16[/tex]
Remember, we have to get not just -2y by itself, we have to get y! We can do that by simply dividing both sides by -2 to get y by itself.
We now have the correct linear equation expressed in the slope-intercept form, which is: [tex]y=\frac{3}{2}x+8[/tex]
