Question

Which is the graph of the line described by -x + y = 2?

Answer 1

The first graph which intersects (0,2)

Explanation:

Let's get this equation into slope-intercept form, which looks like:

`y=mx+b`

-x + y =2

Add x to both sides.

y = x + 2

Using information from the slope-intercept form, we can find its slope and y-intercept.

It's slope is 1, because m (which is 1 being multiplied by x) is attached to x. The y-intercept is (0,2) because when you plug in x = 0, y = 2.

From this, we can determine this equation is the first graph, because it's the only one that intersects the point (0,2).

Answer 2

The first graph is the correct answer.