The given lines are parallel i.e. Line A || Line B
Further explanation:
Slope of line A = m1 = -2/3
We have to find the slope of second line
Let m2 be the slope of line B
[tex]m_2 = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
(x1,y1) = (-4,5)
(x2,y2) = (-1,3)
[tex]m_2 = \frac{3-5}{-1-(-4)}\\m_2 =\frac{-2}{-1+4}\\ m_2 = -\frac{2}{3}[/tex]
We can see that:
[tex]m_1 = m_2[/tex]
The slopes of parallel lines are equal. Hence the given lines are parallel i.e. Line A || Line B
Keywords: Slope, parallel lines
Learn more about parallel lines at:
- brainly.com/question/4221529
- brainly.com/question/4373657
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