Perpendicular lines have slopes that are opposite reciprocals of each other. In order to write the equation of a line perpendicular to the one given, we need to find the slope of the given line and then take the opposite reciprocal of it. The current form the line is in does not give us a clear idea of what the slope is. We will first put the given line into slope-intercept form (right now it's in standard form, which is not helpful for anything at all!). Solving the given equation for y:
12y = -2x - 1 and
(notice I reduced the slope's fraction from -2/12)
That means that the slope of the given line is -1/6. So the perpendicular slope is positive 6/1 or just 6.
Using that slope and the given point in point-slope form to write the equation:
The dimension of the document is 35 inches by 40 inches. It is redrawn at a scale of 1 1/2 or 3/2 or 1.5 The dimension will be: 35 * 1.5 = 52.5 in 40 * 1.5 = 60 in
Then redrawn again at 1/4 or 0.25 52.5 * 0.25 = 13.125 in 60 * 0.25 = 15 in
So the final dimensions of the drawing is 13.125 in by 15 in