Question 3

Find the y-intercept of the line joining two points (1, 3) and (3, 5).

Solution

Equation of line joining points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ is : $$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$$

Points (1, 3) and (3, 5)

=> Equation : $$(y-3)=\frac{5-3}{3-1}(x-1)$$

=> $$y-3=x-1$$

=> $$y=x-1+3$$

=> $$y=x+2$$

Comparing with equation $$y=mx+c$$, $$m$$ is the slope and $$c$$ is the y-intercept.

$$\therefore$$ y-intercept of the line joining two points (1, 3) and (3, 5) = 2

=> Ans - (C)

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