What is the equation of the line shown? x + y - 2 = 0 x - y - 2 = 0 x + y + 2 = 0

To determine which equation represents the line shown we need a bit more context because without seeing the line or having additional information we cannot distinguish which of the three given equations corresponds to it. Each of the provided equations represents a different line so we need either a graph a point on the line, or the slope of the line to identify the correct equation.

However generally speaking the equations provided are in standard form (Ax + By + C = 0), where A, B, and C are constants. These three different equations would represent lines with different positions on a coordinate plane:

1. x + y - 2 = 0 2. x - y - 2 = 0 3. x + y + 2 = 0

Each of these lines has a slope and a y-intercept that can be found by converting the respective equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. If you can provide more information about the line, such as a point through which it passes or its slope, I could help you identify the correct equation from the options given.

Extra: To convert the standard form equation Ax + By + C = 0 to slope-intercept form y = mx + b, you can solve for y by isolating it on one side of the equation. Here's how you can do it for the first equation:

1. x + y - 2 = 0 First, move x and the constant term to the right side of the equation: y = -x + 2

Now, the equation is in slope-intercept form, with m (the slope) being -1 and b (the y-intercept) being 2. This line would slope downward (since the slope is negative) and cross the y-axis at 2.

Converting the other two equations in a similar way would give you their slopes and y-intercepts, which describe their steepness and vertical position, respectively. This is an important skill in algebra, useful for graphing lines and understanding their properties.