# How do you graph the line that passes through the origin parallel to the line x+y=10?

##### 1 Answer

See a solution process below:

#### Explanation:

The equation in the problem is in Standard Form for a Linear Equation. The standard form of a linear equation is:

Where, if at all possible,

The slope of an equation in standard form is:

Therefore,

A line parallel to this line will, by definition have the same slope.

We know the

We can use the slope-intercept formula to write and equation:

The slope-intercept form of a linear equation is:

Where

Substituting the slope we calculated and the

Or

We can also solve for the Standard Form:

Or