Question

A 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

wrong i dont know what it is but do something else i change for the answer

Answer 2

The equation for a line passing through the point (0, -1) with a positive slope m is given by:

y - (-1) = m(x - 0)
y + 1 = mx

To determine if a point (a, b) lies on this line, we substitute a for x and b for y in the equation and see if it holds true.

Let's check each point:
1. (12, 3):
3 + 1 = m(12)
4 = 12m
m = 4/12 = 1/3

2. (-2, -5):
-5 + 1 = m(-2)
-4 = -2m
m = 2

3. (-3, 1):
1 + 1 = m(-3)
2 = -3m
m = -2/3

4. (1, 15):
15 + 1 = m(1)
16 = m

5. (5, -2):
-2 + 1 = m(5)
-1 = 5m
m = -1/5

Based on the calculations, the line can pass through points (12, 3) and (1, 15). So, the correct answers are:
(12, 3)
(1, 15)