Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2), and your house is located at (-9, 9). What is the distance, to the nearest unit between your house and the subway stop?
A. 5
B. 13
C. 8
D. 18

Answer 1

helps to draw it out if you haven't

Answer 2

you want the distance in between

Answer 3

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -5}}\quad ,&{\color{blue}{ 2}})\quad &({\color{red}{ -9}}\quad ,&{\color{blue}{ 9}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

Answer 4

Realize that the "distance formula" is the Pythagorean Theorem:

a^2 + b^2 = c^2

can you find the lengths of a and b? (subtract the x and y coordinates of both respectively)

Answer 5

@Euler271 -3, 0?

Answer 6

the length of a is |-9 - (-5)|
and the length of b is |9 - 2|

Answer 7

c = sqrt(4^2 + 7^2)

Answer 8

@Euler271 so it would be 14, 7?

Answer 9

they want the distance (to the nearest unit. means you have to round up or down depending on the number)

its sqrt(16+49) = sqrt(65). idk what that equals without a calculator (8. something)

Answer 10

@Euler271 so it would round to 8?

Answer 11

yes

Answer 12

thank you so much! you're a life saver (