Question

A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply. (12, 3) (-2,-5) +(-3, 1) O (1, 15) (5,-2)​

Answer 1

answer in picture

Explanation:

Answer 2

• (-3, 1)
• (5,-2)​

Explanation:

Given a line with

• The point (0, 1) on it
• A positive slope

To find

• The point from the list that is not on the same line

Solution

• Slope formula is m = (y2 - y1)/(x2 - x1)

Using one given point, we get the slope:

• m = (y - 1)/(x - 0)
• m = (y - 1)/x and m > 0

Let's verify the answer choices

Point (12, 3)

• m = (3- 1)/12 = 2/12 > 0, yes, on the line

Point (-2,-5)

• m = (-5 - 1)/( -2) = 3 > 0, yes, on the line

Point (-3, 1)

• m = (1 - 1)/(-3) = 0, no, not on the line

Point (1, 15)

• m = (15 - 1)/1 = 14 > 0, yes, on the line

Point (5,-2)​

• m = (-2 - 1)/5 = -3/5 < 0, no, not on the line