Question

Other bookmar 18) A line is shown on the coordinate grid below. Y 6 2 -6 -5 4-3-2-10 1 3 4 5 6 -2 -3 -4 -5 -6 Which of the following best represents an equation of the line? © y=-3x+2 A y = 2x + 2 O y = -2r + 4 B y = 3x + 4

Answer 1

The general equation of a line is express as :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

from the given graph consider any two set of coordinates : (2,0) and (0,4)

Substitute these coordinates on the expression of line

$\begin{gathered} x_1=2,y_1=0 \\ x_2=0,y_2=4 \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-0=\frac{4-0}{0-2}(x-2) \\ y=\frac{4}{-2}(x-2) \\ y=(-2)(x-2) \\ y=-2x+4 \end{gathered}$

The equation of line is : y = -2x + 4

ANswer : D) y = -2x + 4