example writing the equation of a line perpendicular to a given line
{"Image DocumentName": "Example: Writing the Equation of a Line Perpendicular to a Given Line", "Image ImageDescription": "Write the equation of the line perpendicular to x + 4y \u2013 8 = 0 that passes thru the point (2,8) in standard form. Solution: The given line has slope \u20131/4. Any line perpendicular to this line has a slope that is the negative reciprocal, 4. So now we need know the perpendicular slope and are given a point (2,8). Plug this into the point-slope form and rearrange into the standard form. y \u2013 8 = 4[x \u2013 (2)] y \u2013 y1 = m(x \u2013 x1) y1 = 8. m = 4. x1 = 2. y - 8 = 4x x + y = 0. 4x \u2013 y = 0 Standard form.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}