Here is a function: y=3x+6 a) Copy and complete this table of valuesb) Use the table to draw a graph of y=3x+6 c) Find the gradient and the y-intercept of the line y=3x+6 d )Write the equation of a line parallel to y=3x+6 that passes through the origin.

a) To complete the table of values, you need to substitute the x-values into the equation y=3x+6. Here's an example:

If x = -1, y = 3(-1) + 6 = 3 If x = 0, y = 3(0) + 6 = 6 If x = 1, y = 3(1) + 6 = 9 If x = 2, y = 3(2) + 6 = 12 If x = 3, y = 3(3) + 6 = 15

b) To draw the graph, plot the points from the table on a graph. The x-values are the horizontal coordinates and the y-values are the vertical coordinates. Connect the points with a straight line.

c) The gradient of the line is the coefficient of x in the equation, which is 3. The y-intercept is the constant term in the equation, which is 6.

d) A line parallel to y=3x+6 will have the same gradient, which is 3. If the line passes through the origin, its y-intercept is 0. Therefore, the equation of the line is y=3x.