Question

an equation of line that goes through the points (2,4) and (5,2)

Answer 1

an equation of line that goes through the points (2,4) and (5,2) is:

$\frac{y-y_1}{x-x_1}= \frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow \frac{y-4}{x-2}= \frac{2-4}{5-2} \\ \\ \Rightarrow \frac{y - 4}{x - 2} = \frac{ - 2}{3} \\ \\ \Rightarrow 3(y - 4) = - 2(x - 2) \\ \\ \Rightarrow 3y - 12 = - 2x + 4 \\ \\ \Rightarrow 3y + 2x - 12 - 4 = 0 \\ \\ \Rightarrow 3y + 2x - 16 = 0$

Answer 2

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an equation of line that goes through the points (2,4) and (5,2) is:

$\frac{y-y_1}{x-x_1}= \frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow \frac{y-4}{x-2}= \frac{2-4}{5-2} \\ \\ \Rightarrow \frac{y - 4}{x - 2} = \frac{ - 2}{3} \\ \\ \Rightarrow 3(y - 4) = - 2(x - 2) \\ \\ \Rightarrow 3y - 12 = - 2x + 4 \\ \\ \Rightarrow 3y + 2x - 12 - 4 = 0 \\ \\ \Rightarrow 3y + 2x - 16 = 0$.

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