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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice D because if you find the y-intercept, it turns out to be 6. So if you solve for y in choice D you will get that the equation is y=x+6.

It has all the information that was given to us. It has a slope of one and when you find the y-intercept you will see that it also has the y-intercept as 6.
y=x+6. First you put (-5,1) and slope of 1 in point slope form, which is y-y1=m(x-x1). So you plug in the numbers and get y-1=1(x+5). Also it’s plus 5 because it would’ve been minus negative 5 so they cancel each other out and become plus 5. Then you use distributive property to solve 1(x+5). Now your equation should look like this y-1=x+5. Now you add one to each sign because you do the opposite function. And you end up with y=x+5. I hope this helps!
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