The line which is passing through (6,-8) and (3,4) will be 4x + y - 16 = 0.
A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Let's say the line equation is
y = mx + c
Where m is the slope of the equation and can find out by the formula
m = difference in ys coordinate/difference in xs coordinate
m = ( 4 + 8)/(3 - 6) = -4
Now,
Substitute the point (3,4) and m as -4
4 = -4(3) + c ⇒ c = 16
Now the equation is
y = -4x + 16 ⇒ 4x + y - 16 = 0.
Hence "The line which is passing through (6,-8) and (3,4) will be 4x + y - 16 = 0".
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