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help coordinates

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Find the equation of the line that passes through (-2,-7) and (4,10).

Aug 30, 2021

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Find the equation of the line that passes through P1 (-2,-7) and P2 (4,10).

Hallo Guest!

Point-direction equation

$$f(x)=\dfrac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)+y_1$$

$$f(x)=\dfrac{10-(-7)}{4-(-2)}\cdot (x-(-2))+(-7)\\ f(x)=\dfrac{17}{6}\cdot(x+2)-7\\ \color{blue}f(x)=\dfrac{17}{6}\cdot x-\dfrac{4}{3}$$

!

Aug 31, 2021