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1. The equation of the line j perpendicular to the given line is 2y + x = 6.

   In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

   The equation for line k is expressed as y = 2x+8

   The slope of the line is expressed as:

   mx = 2x

   m = 2

   The equation of the line j perpendicular to the line will be in the form;

   y-y0 = m(x-x0)

   Slope of line j = -1/2

   Point (x0, y0) = (0, 3)

   Substitute the points and the slope into the formula

   y – 3 = -1/2(x-0)

   2(y – 3) = -x

   2y – 6 = -x

   2y + x = 6

   Hence the equation of the line j perpendicular to the given line is 2y + x = 6

   Learn more about equations here: https://brainly.com/question/13140886

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