Answer: (0,5)
Another point is (1,1)
There are infinitely many to choose from
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Explanation:
Pick any x value that you want. I'll pick x = 0
4x+y = 5
4(0)+y = 5
0+y = 5
y = 5
So (0,5) is one point on the line.
If we picked x = 1, then,
4x+y = 5
4(1)+y = 5
4+y = 5
y = 5-4
y = 1
So (1,1) is another point on the line.
There are infinitely many points on the line because we can pick infinitely many x values. We can pick any real number for x.
Each (x,y) point is of the form (x, -4x+5) because solving for y gets us y = -4x+5.
The slope of y = -4x+5 is -4, which means that each time x goes up by 1, y drops by 4, or vice versa.
