The equation of line A is y = 5x + 7. Line A is parallel to line B and crosses the y-axis at the coordinate (0,-2). Find the equation of line B.

y = 5(x - 2)

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y = 5x - 2

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y = - 2x + 7

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y = - 0.5x - 2

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Solution

The correct option is B
y = 5x - 2

$E q u a t i o n o f t h e l i n e A i s y = 5 x + 7 C o m p a r i n g w i t h t h e e q u a t i o n o f t h e s t r a i g h t l i n e y = m x + c W e g e t m_{1} = 5, c = 7 A s B i s p a r a l l e l t o A S l o p e o f B i s E q u a l t o A m_{2} = 5 T h e p o i n t s a r e (0, - 2) A p p l y i n g i n O n e p o i n t s l o p e f o r m (y - y_{1}) = m (x - x_{1}) y + 2 = 5 x y = 5 x - 2$

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True or false?

(a) The equation of the x-axis is x = 0.

(b) The line x = 4 is parallel to y-axis

(d) The lines x = y and x = − y are perpendicular to each other.

(e) The lines x = 9 and y = 9 are perpendicular to each other.

(f) The graph of y = x² is a straight line.

(g) The line y = 3x + 4 does not intersect x-axis.

(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

y = x^{2} - 2 x + 7

2 x - y + 9 = 0

5 y - 15 x = 13.

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