Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution. savestylesformat instructions

The answer is –x + y = 0; An equation of a parallel line will have the same slope and also have a y intercept of 0. First, rewrite the equation in “y=mx+b” form to easily see the slope, m: y = -1x + 6 Our slope is -1, therefore, the parallel line through the origin would have an equation of y = -1x + 0, which is equivalent to y = -x. Rearrange the equation into standard form to get the final -x + y = 0