SOLUTION: A new temperature scale is called Z. On that scale, the boiling point of water is 150 degrees Z and the freezing point is −10.0 degrees Z . Find the corresponding 70 degree

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Question 984908: A new temperature scale is called Z. On that scale, the boiling point of water is 150 degrees Z and the freezing point is −10.0 degrees Z . Find the corresponding 70 degrees Z in degrees C .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Make a system of points according to ordered pairs (z,c) and you have two known points (150,100) and (-10,0). Find the linear equation which contains these two points. You would want the result in slope-intercept form.

c=mz%2Bb,
-
m=%28100-0%29%2F%28150-%28-10%29%29=100%2F160=50%2F80=5%2F8
and find b,
b=c-mz; using either of the two known points.

A different example, but the same basic idea shown here:
Equation for Line through Two Points