The table shows the elevation in feet that a hiker has yet to climb before reaching the peak in terms of the number hours hiked. x y 2 1,400 4 1,000

I think this is suppose to be

x y

2 1400

4 1000

you see at 2 hours they have 1400 left and at 4 hours they have 1000 feet left.

first we need y intercept or b since we will put it in y=mx+b form

so at x = 0 whats y. Based on this every 2 hours you climb 400. so go back from x=2 to x=0 would make 1000 into 1800 feet left

so at x hours you have 1800 left

y - intercept is (0, 1800) or + 1800

now we need slope

difference in y / difference in x

diff in y = 1400-1000 = 400

diff in x = 2 - 4 = - 2

difference in y / difference in x = 400/-2 = - 200 is the slope

y=mx + b for

y=-200x+1800