the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
We know that, if the lines are parallel, then their slopes are equal.
We have the line:
- x + 2 y = 7
Slope = - 1
Now, we have the point ( 4, 3)
So, the equation of the line will be:
y - y₁ = m ( x - x₁ )
Substituting the values, we get that:
y - 3 = - 1 ( x - 4 )
y - 3 = - x + 4
x + y - 3 - 4 = 0
x + y - 7 = 0
- x - y + 7 = 0
Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
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