Determine whether the systems have one solution, no solution, or infinitely many solutions. 3x-2y=3; 6x-4y=1
1 answer:
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Answer:
The line equation that passes through the given points is 5x – 2y + 16 = 0
Explanation:
Given:
Two points are A(-2, 3) and B(0, 8).
To find:
The line equation that passes through the given two points.
Solution:
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by
.............(1)
here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.
Now substitute the values in (1)
2y – 16 = 5x
5x – 2y + 16 = 0
Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.