Question

Please Help! :)

Also, please show your work.
You can draw on the grid as well.

Angel uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angel’s house?

Answer 1

Short Answer: d = sqrt(61) or d = 7.8102
Remark
I'm going to assume (at least as a start) that Angelica is going to go straight to the gas station. The question then becomes "What is the distance between Angelica's Home and the Gas Station).

Givens
Let Angelica's Home = A
Let The Gas Station = G

A as a point is (4,3)
G as a point is (10,8)

Formula
D = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )

Substitute and Solve
y2 = 8
y1 = 3
x2 = 10
x1 = 4

D = sqrt( (8 - 3)^2 + (10 - 4)^2 )
D = sqrt( 5^2 + 6^2 )
D = sqrt(25 + 36)
D = sqrt(61) miles<<<<< Answer

Comment.
That is one answer. Most times it is correct.
But you might have answers that have decimals.
D = 7.8102 is the decimal form. If you have choices please list them.