Answer:
Point (4,7) completely satisfies the equation and is a solution to the equation.
Explanation:
Given:
Equation:
![y=1.25x+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/um49cdl6fgzr489e76hvfnlggp1zs8wqwf.png)
To check if the point (4,7) is a solution to the given equation.
Solution:
The solution of an equation is given as
which completely satisfies the equation.
To check if the point (4,7) is a solution to the given equation, we will plugin
and
in the given equation and see if it satisfies it or not.
Plugging in point (4,7) in the equation:
![7=1.25(4)+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7hb5n1cejt3rxo34oa2njif505700ytgff.png)
Simplifying.
![7=5+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1wko2gb6w46ydmjjk4vic4mnewefxyle8c.png)
![7=7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6lfctqntagsghe2vjtp9ilzohawzde97ix.png)
The above equation is always true, and hence point (4,7) completely satisfies the equation and is a solution to the equation.