Question

write an equation in point-slope form for the line that has a slope of 1/5 and contains the point (2, -9).

Answer 1

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Write an equation in point-slope form for the line that has a slope of $\bold{\dfrac{1}{5} }$ and contains the point (2, -9).

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

$\sf{Formula\:for\:Point-Slope:-}$

$\dashrightarrow\bigstar\star\boxed{\bold{y-y_1=m(x-x_1)}}\star\bigstar\dashleftarrow$

Where

y₁ = the y-coordinate of the point that the line contains

m = slope

x₁ = the x-coordinate of the point that the line contains

Provided Information:-

y₁ = -9

m = $\dfrac{1}{5}$

x₁ = 2

Substitute the values:-

         $\sf{y-(-9)=\dfrac{1}{5} (x-2)}$

    On simplification,

          $\sf{y+9=\dfrac{1}{5}(x-2)}$

According to the answer and explanation, we conclude that

       [The correct answer is Option B]

Good luck.

   

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