SOLUTION: A temperature of 10°C corresponds to a temperature of 50°F. Also 40°C corresponds to 104°F. Find the linear equation relating F and C.
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Question 100763: A temperature of 10°C corresponds to a temperature of 50°F. Also 40°C corresponds to 104°F. Find the linear equation relating F and C. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! We are given:
We can assume we have a grid of C (the x-axis) and F (the y-axis).
So these correspondences can be viewed as xy pairs that define points in the plane: (10,50) and (40,104).
Finding the slope of the line, we have:
The general equation for a line is y = mx + b, so
And, looking back we notice that when x=10, y=50. So we can substitute: , so , which is the y-intercept.
Now the equation is , which is perhaps more familiar by substituting F for y (meaning degrees Farenheit) and C for x (meaning Celsius). .