Derek M.
asked 06/18/21Find three solutions (ordered pairs) of the equation and graph the equation. 3x-y=6
2 Answers By Expert Tutors
Raymond B. answered 06/18/21
Math, microeconomics or criminal justice
y = 3x -6 is a straight line with upward slope = 3 and y intercept -6
it's x intercept is x=2
plot the intercepts, (2,0) and (0,-6). Connect them with a straight line. That's the graph of the equation.
2 solutions are the intercepts: (2,0) and (0,-6)
for a third solution let x=1, then y = -3 or the point (1,-3)
Derek M.
Thank you for your help! Can you give a breakdown on how you got the solutions? And to be clear the coordinates (1,-3) are not to be plotted on the graph? Thank you!06/18/21
Syeda Aaliya F. answered 06/18/21
Holistic Mathematics Tutor
3x - y = 6 is a straight line graph equation
to find ordered pairs of coordinate
let y =0
3x - 0 = 6 , x = 2 ( 2 , 0 ) first pair
let x = 0
3•0 -y = 6 , y = -6 ( 0 , -6) second pair
for third pair take mid point of line
m.p = 2+0/2 , 0+(-6)/2
= 1 , -3
third pair = ( 1 , -3 )
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Rita R.
The best approach for this would be to solve this equation for y and then create an x/y table to plug various x values into the function. This will give you as many ordered pairs as you want. Solve for y... 3x - y = 6 -3x -3x -y = -3x + 6 (Divide all by -1) to solve for y y = 3x - 6 x y 0 -6 [-6 = -3 (0) - 6] 1 -3 [-3 = 3(1) -6 ] -1 -9 [-9 = 3(-1) - 6]06/18/21