line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply. (12, 3) (–2, –5) (–3, 1) (1, 15) (5, –2)

Answer:Points passing though are (12, 3),(–2, –5) and (1, 15)Step-by-step explanation:For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].Here we have one point (0, –1), we need to check slope of all the points given.(12, 3)           [tex]m=\frac{3-(-1))}{12-0}=\frac{1}{4}>0[/tex](–2, –5)           [tex]m=\frac{-5-(-1))}{-2-0}=\frac{-4}{-2}=2>0[/tex](–3, 1)          [tex]m=\frac{1-(-1))}{-3-0}=\frac{2}{-3}=-\frac{2}{3}<0[/tex](1, 15)         [tex]m=\frac{15-(-1))}{1-0}=\frac{16}{1}=16>0[/tex] (5, –2)         [tex]m=\frac{-2-(-1))}{5-0}=\frac{-1}{5}=-\frac{1}{5}<0[/tex] Points with positive slope are (12, 3),(–2, –5) and (1, 15)