Question

Which equation represents the line that is perpendicular to and passes through (-40,20)?

1) y = -40x + 20
2) y = 40x + 20
3) x = -40y + 20
4) x = 40y + 20

Answer 1

The equation that represents the line perpendicular to and passing through (-40,20) is y = (1/40)x - 1.

Step-by-step explanation:

To find the equation of a line that is perpendicular to another line, we need to find the negative reciprocal of the slope of the given line. The given line has a slope of -40, so the slope of the perpendicular line would be 1/40.

Now, we can use the point-slope form of a linear equation to find the equation of the line passing through (-40,20). The equation would be: y - 20 = (1/40)(x + 40).

By simplifying, we get: y = (1/40)x - 1.