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What is an equation of the line that passes through the points (-6, 5) and (6, 7)?

1 Answer

8 votes

Answer:


y=(1)/(6)x+6

Explanation:

Let
(x_1,y_1)\rightarrow(-6,5) and
(x_2,y_2)\rightarrow(6,7)

Determine slope


m=(y_2-y_1)/(x_2-x_1)\\ \\m=(7-5)/(6-(-6))\\ \\m=(2)/(6+6)\\ \\m=(2)/(12)\\ \\m=(1)/(6)

Use either ordered pair to find the y-intercept


y=mx+b\\\\7=(1)/(6)(6)+b\\\\7=1+b\\\\6=b

Final equation


y=(1)/(6)x+6

What is an equation of the line that passes through the points (-6, 5) and (6, 7)?-example-1
User Malcolm Waldron
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