The slope and y-intercept of the following line are respectively
$7 x - y + 3 = 0$

s l o p e = m = 7 / 3 a n d y - i n t e r c e p t = 1.

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s l o p e = m = - 7 a n d y - i n t e r c e p t = 3.

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s l o p e = m = - 7 / 3 a n d y - i n t e r c e p t = 1.

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s l o p e = m = 7 a n d y - i n t e r c e p t = 3.

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Solution

The correct option is D $s l o p e = m = 7 a n d y - i n t e r c e p t = 3.$
The given equation is $7 x - y + 3 = 0$ ........ $(1)$
To obtain the slope and $y -$ intercept of the given equation, we write it in slope-intercept form which is
$y = m x + c$ , where $m$ and $c$ are slope and $y -$ intercept
From $(1)$ ,
$7 x - y + 3 = 0 ⟹ y = 7 x + 3$
Comparing it with $y = m x + c$ we get,
slope $= m = 7$ and y-intercept $= c = 3$
Hence, option D is correct.

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