Question

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 1

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 $\frac{y_2-y_1}{x_2-x_1}$.

Here we have one point (0, –1), we need to check slope of all the points given.

(12, 3)

          $m=\frac{3-(-1))}{12-0}=\frac{1}{4}>0$

(–2, –5)

          $m=\frac{-5-(-1))}{-2-0}=\frac{-4}{-2}=2>0$

(–3, 1)

         $m=\frac{1-(-1))}{-3-0}=\frac{2}{-3}=-\frac{2}{3}$

(1, 15)

        $m=\frac{15-(-1))}{1-0}=\frac{16}{1}=16>0$

(5, –2)

        $m=\frac{-2-(-1))}{5-0}=\frac{-1}{5}=-\frac{1}{5}$

Points with positive slope are (12, 3),(–2, –5) and (1, 15)

Answer 2

Answer:

A. (12, 3)

B. (–2, –5)

D. (1, 15)

Step-by-step explanation:  For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by .

Here we have one point (0, –1), we need to check slope of all the points given.

(12, 3)

         

(–2, –5)

         

(–3, 1)

        

(1, 15)

       

(5, –2)

       

Points with positive slope are (12, 3),(–2, –5) and (1, 15)