What is the slope of the line 3y= 9x +5. give an equation of a line parallel to this line.

To find the slope, you will have to make y the subject of the formula.

i.e Divide both sides of the equation by 3

which implies : y = 9x/3 + 5/3

                         y = 3x + 5/3

compare the above with the equation of the line in the form y = mx + c , where m is the slope and c is the y intercept , therefore by comparison slope = 3

To find the equation of a line parallel to this line, sine no point is given then we consider the origin.

recall the equation of the line stated above : y = mx +c , we need to find the value of c, since we are considering  the origin, it implies that the y intercept will be zero, and we have already calculated the slope, so the equation is

y = 3x

Step-by-step explanation: