- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Write an equation in point-slope form for the line that has a slope of [tex]\bold{\dfrac{1}{5} }[/tex] and contains the point (2, -9).
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
[tex]\sf{Formula\:for\:Point-Slope:-}[/tex]
[tex]\dashrightarrow\bigstar\star\boxed{\bold{y-y_1=m(x-x_1)}}\star\bigstar\dashleftarrow[/tex]
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 = [tex]\dfrac{1}{5}[/tex]
x₁ = 2
Substitute the values:-
[tex]\sf{y-(-9)=\dfrac{1}{5} (x-2)}[/tex]
On simplification,
[tex]\sf{y+9=\dfrac{1}{5}(x-2)}[/tex]
According to the answer and explanation, we conclude that
[The correct answer is Option B]
Good luck.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
