Answer: -x+y=8
Explanation:
Slope intercept form is y=my+b. (y2-y1)/(x2-x1)=m or slope, (10-7)/(2- -1)=3/3=1. Therefore m=1. Now we have y=1x+b. Plug in either point to solve for b. 7=1(-1)+b which simplifies to 7=-1+b. To solve for b, add -1 to both sides in order to isolate b. 7+1=8, so b=8. Now we have y=x+8. subtract x from both sides to get y-x=8 or -x+y=8.