Find the value of x if the slope of the line joining the points A(1, 3

1.	Find the value of x if the slope of the line joining the points A(1, 3) and B(x; 6) is 1.
Answer» Answer: $\rm \: x = 4$ Explanation: Given points, A(1, 3) B(x, 6) Whose SLOPE is 1 We need to find the value of x We know that, $\rm \longrightarrow \: slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1}$ Where, $\rm x_1 = 1\: and \: y_1 = 3$ DENOTES the COORDINATES of the first point A And $\rm x_2 = x \: and \: y_2 = 6$ is the coordinate of second point B Substituting the coordinates :- $\rm \implies \:1 = \dfrac{6 - 3}{x - 1}$ $\rm \implies \:1 = \dfrac{3}{x - 1}$ $\rm \implies \:1(x - 1) = 3$ $\rm \implies \:x - 1= 3$ $\rm \implies \: x = 3 + 1$ $\rm \implies \:x = 4$ ${ \underline {\rm {\therefore{ \: The \: value \: of \: x \: is \: 4}}}}$ _____________________ Formula used : $\rm \longrightarrow \: slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1}$ Where, $\rm x_1 \: and \: y_1$ denotes the coordinates of the first point A And $\rm x_2 \: and \: y_2$ is the coordinate of second point B