write a linear equation in point slope form the line that goes through (-1,1) and (1,-5).

Answer: Option D.Step-by-step explanation: The equation of the line in point-slope form is: [tex]y-y_1=m(x-x_1)[/tex] Where m is the slope of the line and ([tex]x_1,y_1[/tex]) is a point of the line. Given the points (-1,1) and (1,-5), you can find the slope with the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then: [tex]m=\frac{-5-1}{1-(-1)}=\frac{-6}{2}=-3[/tex] Substitute the slope and the point (-1,1) into  [tex]y-y_1=m(x-x_1)[/tex]:  [tex]y-1=-3(x-(-1))[/tex]  [tex]y-1=-3(x-+1)[/tex]