Answer:
(0,-6), (2,0), and (1,-3)
Explanation:
We are given the equation of the line, and are then asked to find points on that line that correspond to values of x and y (x,y). We can either graph the line and look for the points, or we can solve the equation using the given value of x or y, to find the other value of y or x. Let's do both.
Graph
See the attached graph. The line is drawn and then the three points are located using the provided value of x or y.
We find:
(0,-6)
(2,0), and
(1,-3)
Solve
Fun, but we could also put the one given value in the equation and then solve for the other:
y = 3x - 6
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1. (0,__)
y = 3x - 6
y = 3*(0) - 6
y = -6
The point is (0,-6)
2. (__,0)
y = 3x - 6
0 = 3x - 6
-3x = -5
x = 2
The point is (2,0).
3. (1,__)
y = 3x - 6
y=3*(1)-6
y= -3
The point is (1,-3)