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# Determine the value of $\lambda$ so that 1 is the slope of line passing through (1,1) and $(\lambda,4)$?

$(a)\;4\qquad(b)\;6\qquad(c)\;3\qquad(d)\;7$

We know the slope of a line is given by $m=\large\frac{y_2-y_1}{x_2-x_1}$
So $\large\frac{4-1}{\lambda-1}$$=1$
$4-1=\lambda -1$
$\lambda =4$
Hence (a) is the correct answer.