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.

Step-by-step explanation:

We are asked to write an equation of the line, in standard form, that passes through the origin and is parallel to .

First of all, we will convert our given equation in the slope-intercept form of equation , where,

m = Slope of line,

b = The y-intercept.

First of all, we will subtract x from from both sides of our given equation as:

We can see that slope of our given line is and y-intercept is 6.

We know that parallel lines have same slope and different y-intercepts.

Since we need to find the equation of line that passes through origin, so we will substitute and coordinates of origin (0,0) in slope-intercept form of equation.

The equation of a line parallel line to our given line and passes through origin would be

Now, we will add x on both sides of our equation.

Therefore, our required equation would be .

step-by-step explanation:

45 minutes

step-by-step explanation: