In this question, line1 and line2 are parallel to each other by finding the slope.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
We know that formula two find the slope of the line joining two points which is
Given four lines are
Line 1: y=1/2x -6
(Line 2: x-2y=-1
(Line 3: y=4x+6
(Line 4: y+3=1/4 (x-6)
We have to find out the slope of the corresponding lines such that
the slope of line 1 = 1/2
the slope of line 2 = 1/2
the slope of line 3 = 4
the slope of line 4 = 14
So the line has the same slope they are parallel to each other.
Hence in this question, line1 and line2 are parallel to each other.
Learn more about Slope, by the following link
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