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Sagot :
Well if y1= m1x + b1
y2 = m2 x + b2
Lines are the same if m1 = m2 and b1 = b2 (they intersect in infinitely many points)
If b1 ≠ b2 and m1 = m2 then lines are parallel and do not intersect
If m1≠ m2 then lines will intersect at one point
y2 = m2 x + b2
Lines are the same if m1 = m2 and b1 = b2 (they intersect in infinitely many points)
If b1 ≠ b2 and m1 = m2 then lines are parallel and do not intersect
If m1≠ m2 then lines will intersect at one point
The key features needed are the slopes and y-intercepts. If the slope and the y-intercept are the same then there are infinite amounts of intersections. If the slope is the same and the y-intercept is different then they will never intercept. Of the slope and the y-intercept are different, then they will intersect at one point.
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