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Question 874270: Suppose you drive to Reno at constant speed, and you notice that after you have been on the road for one hour and a half, you pass a sign saying it is 100 miles to Reno, and after driving an additional half-hour you pass a sign saying it is 65 miles to Reno.
(a) Find the equation in point-slope form for your distance from Reno
(b) Find the slope, x-intercept and y-intercept
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose you drive to Reno at constant speed, and you notice that after you have been on the road for one hour and a half, you pass a sign saying it is 100 miles to Reno, and after driving an additional half-hour you pass a sign saying it is 65 miles to Reno.
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d = mx + b
Points relating time and distance:: (3/2 , 100) : (2 , 65)
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(a) Find the equation in point-slope form for your distance from Reno
slope = [-35)/(1/2) = -70
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Solve for "b":
65 = -70(2) + b
b = 205
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Equation:
distance = -70x + 205
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(b) Find the
slope:: -70
x-intercept::
0 = -70x + 205
x = 205/70 = 41/14
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y-intercept:: (0,205)
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Cheers,
Stan H.
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