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PLEASE HELP! Write an equation of the line that passes through (2, 7) and (0, −5).

User Jerry Chen
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Answer:

y=6x-5

Explanation:

The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.

First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.

Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.

In your final answer, x and y remain as variables to get y=6x-5.

User Tradyblix
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