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

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote