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.

A) (12, 3)
B) (-2, -5)
C) (-3, 1)
D) (1, 15)
E) (5, -2)

Answer 1

To find the points that the line cannot pass through, we can find the equation of the line and substitute the coordinates of the given points into the equation to check if they satisfy it.

Step-by-step explanation:

To find which points the line cannot pass through, we need to find the equation of the line that passes through the point (0, 1) and has a positive slope.

Using the formula for the equation of a line, which is y = mx + b, where m is the slope and b is the y-intercept, we can substitute the given point (0, 1) into the equation to find the value of b.

Once we have the equation of the line, we can substitute the x and y values from each of the given points to check if they satisfy the equation. If they do not satisfy the equation, then the line cannot pass through those points.

By substituting the coordinates of each point into the equation, we can determine that the line cannot pass through points B) (-2, -5), C) (-3, 1), and E) (5, -2).