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.

$(-4,-4) \Rightarrow x_1=-4,y_1=-4 \\ (1,3) \Rightarrow x_2=1,y_2=3 \\ \\y-y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1) \\ \\ y-(-4)= \frac{3-(-4)}{1-(-4)} (x-(-4)) \\ \\ y+4= \frac{3+4}{1+4} (x+4) \\ \\y+4= \frac{7}{5}(x+4)$