Question

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.?

Answer 1

Answer: $y=-x$

Step-by-step explanation:

Rewriting the equation of the given line in slope-intercept form,

$x+y=6\\\\y=-x+6$

From this, we know the slope of the given line is -1.

Since parallel lines have the same slope, the slope of the line we want to find is also -1.

Also, the line we want to find passes through the origin, (0,0), meaning it has a y-intercept of 0.

Therefore, the answer is $y=-x$.