Answer:
The answer to your question is Equation 1 C = (F -32)/1.8
Equation 2 C = (F - 30)/2
Step-by-step explanation:
Data
Equation 1 F = 1.8C + 32
Equation 2 F = 2C + 30
Solve both equations for C
Equation 1
- Substract 32 in both sides
F - 32 = 1.8C + 32 - 32
- Simplify
F - 32 = 1.8C
- Divide both sides by 1.8
C = (F -32)/1.8
Equation 2
F = 2C + 30
- Substract 30 in both sides
F - 30 = 2C + 30 - 30
- Simplify
F - 30 = 2C
- Divide both sides by 2
C = (F - 30)/2
The formula for the slope of a line between two points is m=y2-y1/x2-x1. Substitute the given coordinates into this equation and solve:
m=(48-12)/(32-34)=36/-2= -18
The slope is -18
