Answer :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Equation of the shown line is :

  • [tex]y = - 3x - 1[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) of the line by considering two points on the line (0 , -1) and (-1 , 2).

Slope :

  • [tex] \mathrm {\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

  • [tex] \mathrm{ \dfrac{2 - ( - 1)}{ - 1 - 0}} [/tex]

  • [tex] \mathrm {\dfrac{2 + 1}{ - 1} }[/tex]

  • [tex] \mathrm{\dfrac{3}{ - 1}} [/tex]

  • [tex] \mathrm{- 3}[/tex]

now, as we can observe from the graph that the y - intercept (c) of the line is -1 ( from point (0 , -1))

then, let's use the general equation of line to represent it, and plug the value of slope (m) and y - intercept (c) in it to find the equation of line in slope - intercept form.

  • [tex]y = mx + c[/tex]

  • [tex]y = - 3x - 1[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

TheProteanGirl
y=-3x-1 because check the image.
${teks-lihat-gambar} TheProteanGirl

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