Can anyone help me answer this?
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
L₁ is y = 5x + 1 ← in slope- intercept form
with slope m = 5
L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since L₁ and L₂ have equal slopes then they are parallel lines
Answer: Choice B)
We have some value m and we're squaring it to get
To undo this and isolate m, we apply the square root to both sides
There are two solutions here. This is similar to how there are two solutions in something like (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.