Question

Write the equation of the line perpendicular to y=2x+1 and going through (-4, -0).

a) y = 2x - 1
b) y = -1/2x + 1
c) y = -2x + 1
d) y = 2x - 8

Answer 1

The equation of the line perpendicular to y=2x+1 and passing through (-4, -0) is y = -1/2x + 1/2.

Step-by-step explanation:

To find the equation of a line perpendicular to y=2x+1 and going through (-4, -0), we first need to determine the slope of the given line. The slope of y=2x+1 is 2. Since the line we want is perpendicular, its slope will be the negative reciprocal of 2, which is -1/2. Next, we can use the point-slope form of a linear equation to write the equation of the line. The equation of the line perpendicular to y=2x+1 and passing through (-4, -0) is y = -1/2x + 1/2.