Line AB goes through the points A (0,-4) and B (6,2). Which equation represents line AB

y=x-4

Step-by-step explanation:

Since we are given the points finding the equation is fairly easy. First we need to find the slope which is y2 minus y1 over x2 minus x1. Which will give us 2-(-4) over 6-0. 2- (-4) is 6 since we can't subtract a negative number so both negatives turn into a positive making the equation 2 + 4 making 2 - (-4) 6. 6-0 is 6. This will give us 6/6 which simplifies to 1. Then we will plug in the slope value into y=mx+b. The calculation we did above was to find m. Now we will plug in the values to find b. First plug in the first equation and we get -4 = 1(0) +b. this simplifies to -4=b. we have now found our b value which is -4. Then we will plug in the second point given to make sure the equation is correct. 2 = 1(6) -4. 2 = 6-4. 2=2 check. This means the equation is correct so the equation is y=x-4.

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3