The way you put it is confusing. I'll answer but the way you put it was confusing to me.
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
Answer:
Well, the first thing you must do is find the slope
(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3
Now, I am going to use the formula for the slope, which is
y2-y1/(x2-x1)
[-3-2]/(1-0)= -5/1 or just -1
Next, I am going to use the point slope form, which is
y-y1=m(x-x1). m=5, x1=0, y1=2
y-2= -5(x-0)
y-2=-5x
+2 +2
y= -5x+2 This is the slope intercept form.
we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)