Answer:
Please check the explanatio.
Explanation:
Solving Part b)
We know that the slope-intercept form of the equation line is
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
where m is the slope and b is the y-intercept
Given the equation
![4x+2y=16](https://img.qammunity.org/2021/formulas/mathematics/college/nppod222j4hcg18ovljhblu1r7wpyb3y37.png)
Re-writing the equation in the slope-intercept form
![4x+2y=16](https://img.qammunity.org/2021/formulas/mathematics/college/nppod222j4hcg18ovljhblu1r7wpyb3y37.png)
![y=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7ub6cvopw9tkgb6ajto1pun8hfa91jinx.png)
Here, m=-2 and b=8
Thus, the equation in the slope-intercept form will be:
![y=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7ub6cvopw9tkgb6ajto1pun8hfa91jinx.png)
Solving Part c)
As you sold two pounds of cheddar cheese.
i.e. y=2
substituting y=2 in the slope-intercept form of the line equation
![y=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7ub6cvopw9tkgb6ajto1pun8hfa91jinx.png)
![2=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/college/3m410w73p4jkb6gh72grvqc1146t2ne7t4.png)
Subtract 8 from both sides
![-2x+8-8=2-8](https://img.qammunity.org/2021/formulas/mathematics/college/o7jalesg6w7w23tgj5uy2a2b479gvj1wim.png)
![-2x=-6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/giha9mpqs0xukli97qiep6y99vqmrndoux.png)
Divide both sides by -2
![(-2x)/(-2)=(-6)/(-2)](https://img.qammunity.org/2021/formulas/mathematics/college/bo1mbmtergxx32sdo44l9a9ybz8gmsezgi.png)
![x=3](https://img.qammunity.org/2021/formulas/mathematics/college/yzekanmiuar9edsve93wg5dpqbw3650n5b.png)
You sold 3 pounds of swiss cheese.
Solving Part d)
![y=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7ub6cvopw9tkgb6ajto1pun8hfa91jinx.png)
putting x=2.5 in the equation
![y=-2x+8](https://img.qammunity.org/2021/formulas/mathematics/high-school/b7ub6cvopw9tkgb6ajto1pun8hfa91jinx.png)
![2=-2\left(2.5\right)+8](https://img.qammunity.org/2021/formulas/mathematics/college/3t8fi34i795j1okg7x5o6b41a64oe3hiru.png)
![2=3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2c5og6imdoazofk3e5mwdczwgvq217ly8b.png)
The sides are not equal
FALSE
Thus, x=2.5 does not make any sense in the context of the problem.