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Answer : 4th option

A equation is given to us and we need to find out its graph from the options . The given equation is ,

→ y = -2x + 1

Comparing this equation to the slope intercept form of the line which is y = mx + c , where m is the slope and c is y intercept. We have ,

  • m = -2
  • c = 1

So the equation of the line will cut y axis at (0,1) and will have a negative slope .

  • Since the slope is negative , it will make an obtuse angle in anti clockwise direction with the x axis .

And the graph which satisfies the above conditions is in 4th option .

Hence the correct answer is 4th option .

I hope this helps.