Answer: D. y=−3x+2
Step-by-step explanation:
We know that equation of a line passing through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Thus equation of line passing through points(1,-1) and (-1,5) is
[tex](y-(-1))=\frac{5-(-1)}{-1-1}(x-1)\\\Righatrrow(y+1)=\frac{6}{-2}(x-1)\\\Rightarrow(y+1)=-3(x-1)\\\Rightarrow\ y+1=-3x+3\\\Rightarrow\ y=-3x+2[/tex]
Thus D is the right answer.
The equation of the line given by graph is y=−3x+2
