Question

Find the equation of a line parallel to y = -2 that contains the point (0, 1). Write the equation in slope-intercept form.

a) y = -2x + 1
b) y = -1x + 2
c) y = -2x - 1
d) y = 1x - 2

Answer 1

The equation of a line parallel to y = -2 that contains the point (0, 1) is y = 1, which is a horizontal line crossing the y-axis at 1. This does not match any of the provided options.

Step-by-step explanation:

To find the equation of a line parallel to y = -2 that contains the point (0, 1), we need to understand that a line parallel to a horizontal line will have the same slope, which in this case is 0, because the line y = -2 is horizontal. Since the line we're trying to find must go through the point (0, 1), that means our line will be a horizontal line that crosses the y-axis at 1. Therefore, the equation of the line in slope-intercept form is simply y = 1, which does not match any of the given options (a, b, c, d).