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The graph shows the line that converts Celsius (C) to Fahrenheit (F). A day in Nagpur is 86 °. Use the dashed guide to find the temperature in °.

Class 9Linear Equations in Two VariablesLinear Equations
  • A54 °C
  • B47.8 °C
  • C35 °C
  • D30 °C

Step-by-Step Solution

Across from 86 °F the guide meets the line above 30 °C. Check: .
Answer: D) 30 °C

Key idea: Graphing a linear equation

Three steps:

1. Find at least **two solutions** (preferably the and intercepts — easiest to plot).
2. Plot those points on the coordinate plane.
3. Draw a straight line through them.

Every linear equation in two variables graphs as a STRAIGHT LINE. (That's why they're called 'linear'.)

For accuracy: find a third solution and verify it lies on the line — catches arithmetic mistakes.

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