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Answer:
Step-by-step explanation:
you can easily determine it by converting equation to slope y-intercept form and comparing its slope and y-intercept.
formula y = mx +b;
m = slope, b = y-intercept
coincide if both slope and y-intercept are thesame.
parallel - if slope is the same and y-intercept is different.
intercecting - if y-intercept is different.
1.) x - 4y = 2 4y = x - 2 y = x/4 - 1/2
3x - 12y = 6 12y = 3x - 6 y = x/4 - 1/2
therefore; coincide lines
3.) 3x + 4y = 8 4y = -3x + 8 y = -3x/4 + 2
4x + 5y = 10 5y = -4x + 10 y = -4x/5 + 2
therefore; intersecting lines
2.) -4x + y = 3 y = 4x + 3
-8x + 2y = 3 2y = 8x + 3 y = 4x + 3/2
therefore; parallel lines
4.) 6x + 2y = 7 2y = -6x + 7 y = -3x + 7/2
8x + 4y = 9 4y = -8x + 9 y = -2x + 9/4
therefore; intersecting lines.