Question

Which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate

grid?
O da V(6-3)2 + (9-(-21)
od= V(6+3)2 + (9+ (-2)
d-(6-9)+(3-(-2))?
d=16+9)2 + (3+(-2112

Answer 1

`\large \textsf{d = $√((6-9)^2+(3-(-2))^2)$}`

Explanation:

Distance formula:
`\large \textsf {d = $√((x_2-x_1)^2+(y_2-y_1)^2)$}`

Distance between the points (9, -2) and (6, 3):

• x₁ = 9
• x₂ = 6
• y₁ = -2
• y₂ = 3

`\large \textsf {d = $√((x_2-x_1)^2+(y_2-y_1)^2)$}\\\\\large \textsf{d = $√((6-9)^2+(3-(-2))^2)$}\\\\\large \textsf{d = $√((6-9)^2+(3+2)^2)$}\\\\`

Hope this helps!

Answer 2

D)
`d=√((6-9)^2+(3-(-2))^2)`

Explanation:

Distance between two points formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Given:

(x₂, y₂) = (6, 3)

(x₁, y₁) = (9, -2)

`\implies d=√((6-9)^2+(3-(-2))^2)`