Question

Which of the point-slope equations below is correct for the line that passes through points (-4,-4) and (1,3)? Check all that apply.

A. y - 3 = 7/5(x - 1)
B. y - (-4) = 7/5(x - (-4))
C. y - 3 = 7/5(x + 1)
D. y + 4 = 7/5(x - 4)
E. y + 4 = 7/5(x + 4)
F. y + 4 = 5/7(x + 4)

Answer 1

Correct answer is E.


`(-4,-4) \Rightarrow x_1=-4,y_1=-4 \\ (1,3) \Rightarrow x_2=1,y_2=3 \\ \\y-y_1= (y_2-y_1)/(x_2-x_1) (x-x_1) \\ \\ y-(-4)= (3-(-4))/(1-(-4)) (x-(-4)) \\ \\ y+4= (3+4)/(1+4) (x+4) \\ \\y+4= (7)/(5)(x+4)`