Question

Use the equations represented in the graph to find the point of intersection.

Answer 1

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$ \begin{cases}\sf y = 7\\\sf y = 10 - √(x - 8)\end{cases}$}`

`\Large \text{$ \sf 10 - √(x - 8) = 7$}`

`\Large \text{$ \sf √(x - 8) = 10 - 7$}`

`\Large \text{$ \sf √(x - 8) = 3$}`

`\Large \text{$ \sf [\:√(x - 8)\:]^2 = 3^2$}`

`\Large \text{$ \sf x - 8 = 9$}`

`\Large \text{$ \sf x = 9 + 8$}`

`\Large \text{$ \sf x = 17$}`

`\Large \boxed{\boxed{\text{$ \sf P(x,y) = P(17,7)$}}}\leftarrow \textsf{intersection point}`