Question

there is a straight line 2x+y=10 on the Cartesian plane. How can I find a vector parallel to the line?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find a vector parallel to the line 2x + y = 10, we can rewrite the equation in slope-intercept form, y = -2x + 10.

The slope of the line is -2, indicating that for every increase of 1 in the x-coordinate, the y-coordinate decreases by 2. Therefore, the vector (1, -2) has the same slope and is parallel to the line 2x + y = 10.