Question 90

The slope of the line passing through the points (2,-1) and (x,5) is -1. Find x?

Solution

Slope of line passing through $$(x_1,y_1)$$ and $$(x_2,y_2)$$ is = $$\frac{y_2-y_1}{x_2-x_1}$$

Slope of the line passing through the points (2,-1) and (x,5) = -1

=> $$\frac{5+1}{x-2} = -1$$

=> $$\frac{6}{x-2}=-1$$

=> $$x-2=-6$$

=> $$x=2-6=-4$$

=> Ans - (B)


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