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

Answer:

D)    $d=\sqrt{(6-9)^2+(3-(-2))^2}$

Step-by-step explanation:

Distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given:

(x₂, y₂) = (6, 3)

(x₁, y₁) = (9, -2)

$\implies d=\sqrt{(6-9)^2+(3-(-2))^2}$

Answer 2

Answer:

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

Step-by-step explanation:

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

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

• x₁ = 9
• x₂ = 6
• y₁ = -2
• y₂ = 3

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

Hope this helps!