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What is the equation of the line that passes through the points (-1, 7) and (2, 10) in Standard

Form? heres a Hint: Write in slope intercept form and then change to standard form by moving the x
term to the left side.​

What is the equation of the line that passes through the points (-1, 7) and (2, 10) in-example-1

1 Answer

3 votes

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.

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