For palarell lines, slope are equal. slope of first line = (y2 - y1)/(x2 - x1) = (-7 - 9)/(-12 - 8) = -16/-20 = 4/5 equation of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (-5, -15) and m = 4/5. Therefore equation of the line is y - (-15) = 4/5(x - (-5)) y + 15 = 4/5(x + 5)
The slope of the line of the line is calculated through the equation, m = (y2 - y1) / (x2 - x1) Using the first two points in the given, m = (-7 - 9) / (-12 - 8) = 4/5 The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is, y - -15 = (4/5)(x - -5) Simplifying gives the answer of, y = (4/5)x -11 Eliminating the fraction, 5y = 4x - 55
