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.