Question

HELP,ME PLEASE IM RLLY CONFUSED ON THIS ONE,THANKS IN ADVANCED

Answer 1

We can notice that : Line Passes through the Points (1 , 2) and (4 , -4)

Let us find the slope of the line in order to write the Equation of the Line.

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

`\heartsuit\;Slope(m) = (y_1 - y_2)/(x_1 - x_2)`

Points are (1 , 2) and (4 , -4)

here x₁ = 1 and x₂ = 4 and y₁ = 2 and y₂ = -4

`\heartsuit\;Slope(m) = (2 + 4)/(1 - 4) = (6)/(-3) = -2`

Equation of the Line passing through (1 , 2) and having slope -2 is :

⇒ y - 2 = -2(x - 1)

⇒ y = -2x + 2 + 2

⇒ y = -2x + 4