All three points displayed are on line. Find an equation relation x and y

y=0.5x+1.5

Step-by-step explanation:

fisrt take two of the pints and find the slop using the correct formula. i will use points (6,9) and (3,3) 6-3=3 and 9-3=6 3 divided by 6 is 0.5. zero point five is our slope. now we find the y-interept. i will use the point (3,3). our equation now is 3=0.5x3+b ill take 0.5 and subrat 0.5 from it, to cancel it out and get zero. now i will multiply 3 by 0.5 to get 1.5. now i will subtract 1.5 from 1.5 to cancel it out and get zero. i will now subtract 1.5 from 3 to get 1.5. this is now our y-intercept. lastly we put these numbers into an equation. y=0.5x+1.5

hope this helped :)

2nd one in the first row is correct

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?