From the graph, angelica's house is represented by the point (4, 3) and the gas station is represented by the point (10, 8).
The distance between two given points in the xy-plane is given by

where:

Thus

Therefore, the distance of the gas station from Angelica's house is 7.81 miles.
Answer:
b6
Step-by-step explanation:
hope you help
The top right one is the answer. I hope this helps
Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.
A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2