Answer:
First choice: y = (-1)x + 2
Step-by-step explanation:
The equation of a line in slope-intercept form is given by
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
where m is the slope and b is the y-intercept (we know this from the point (0,2))
Now in our case, the y-intercept is (0, 2) ; therefore, our equation looks like
![y=mx+2](https://img.qammunity.org/2023/formulas/mathematics/college/hhdp1po4cndhhwprzttstth4nobindjeaf.png)
and now we find the slope.
The slope is defined as the rise/run.
Since rise = 2 and run = -2, we have
![m=\frac{\text{rise}}{\text{run}}=(2)/(-2)=1](https://img.qammunity.org/2023/formulas/mathematics/college/ml218gt1ycbbzg65c8ryc1x84pk80lgy4w.png)
with the value of m in hand, we now write the equation of the line
![y=(-1)x+b](https://img.qammunity.org/2023/formulas/mathematics/college/o52dl4jzww47vgc7rruvd9x1tro36uw4kb.png)
which is our answer!