Tag: coordinates, points and lines
Questions Related to coordinates, points and lines
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$1$
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$-1$
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$\dfrac{1}{2}$
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$2$
The equation of the line passing through $(-4, 3)$, parallel to the $3x+7y+6=0$
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3x+7y-9=0
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3x+7y+9=0
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3x+7y+3=0
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3x+7y+12=0
The line parallel to $3x+7y+6=0$ is $3x+7y+k=0$
The slope and the y-intercept of the given line, $y-3x -6=0$ are respectively,
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$3, -6$
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$-3, -6$
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$3, 6$
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$-3, 6$
The given equation is $y-3x-6=0$ ........ $(1)$
The slope and y-intercept of the following line are respectively
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$ slope=m=1\quad and\quad y-intercept=c=\frac { 5 }{ 2 } . $
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$ slope=m=1/5\quad and\quad y-intercept=c=\frac { 2 }{ 5 } . $
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$ slope=m=-1\quad and\quad y-intercept=c=\frac { 5 }{ 2 } . $
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$ slope=m=-1/5\quad and\quad y-intercept=c=\frac { 2 }{ 5 } . $
The given equation is $2y+2x-5=0$ ........ $(1)$
The slope and y-intercept of the following line are respectively
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$ slope=m=7/3\quad and\quad y-intercept=1.\ $
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$ slope=m=-7\quad and\quad y-intercept=3.\ $
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$ slope=m=-7/3\quad and\quad y-intercept=1.\ $
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$ slope=m=7\quad and\quad y-intercept=3.\ $
The given equation is $7x-y+3=0$ ........ $(1)$
The slope and the y-intercept of the given line, $2x-3y = 7$ are respectively,
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$\dfrac{3}{2}, \dfrac{-3}{7}$
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$\dfrac{2}{3}, \dfrac{-7}{3}$
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$\dfrac{3}{2}, \dfrac{3}{7}$
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$\dfrac{2}{3}, \dfrac{7}{3}$
The given equation is $2x-3y=7$ ........ $(1)$
The slope and y-intercept of the following line are respectively
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$ slope=m=4\quad and\quad y-intercept=0.\ $
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$ slope=m=-4\quad and\quad y-intercept=0.\ $
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$ slope=m=1/4\quad and\quad y-intercept=0.\ $
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$ slope=m=0\quad and\quad y-intercept=1/4.\ $
The given equation is $4x-y=0$ ........ $(1)$
The slope and y-intercept of the following line are respectively
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$ slope=m=\frac { -1 }{ 2 } \quad and\quad y-intercept=\frac { 1 }{ 4 } . $
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$ slope=m=2 \quad and\quad y-intercept=-\frac { 1 }{ 4 } . $
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$ slope=m=-\frac { 1 }{ 2 } \quad and\quad y-intercept=-\frac { 1 }{ 4 } . $
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$ slope=m=\frac { 1 }{ 2 } \quad and\quad y-intercept=\frac { 1 }{ 4 } . $
The slope and y-intercept of the following line are respectively
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$ slope=m=-\frac { 5 }{ 2 } \quad and\quad y-intercept=-\frac { 3 }{ 2 } . $
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$ slope=m=\frac { 5 }{ 2 } \quad and\quad y-intercept=\frac { 3 }{ 2 } . $
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$ slope=m=\frac { 5 }{ 2 } \quad and\quad y-intercept=-\frac { 3 }{ 2 } . $
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$ slope=m=-\frac { 5 }{ 2 } \quad and\quad y-intercept=\frac { 3 }{ 2 } . $
The given equation is $5x-2y=3$ ........ $(1)$
The slope and $y$-intercept of the following line are respectively
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slope $=m=-\dfrac { 5 }{ 8 } $ and $ y$-intercept $=\dfrac { 1 }{ 4 } $
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slope $=m=\dfrac { 5 }{ 8 } $ and $y$-intercept $=-\dfrac { 1 }{ 4 } $
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slope $=m=-\dfrac { 5 }{ 8 }$ and $ y$-intercept $=-\dfrac { 1 }{ 4 } $
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slope $=m=\dfrac { 5 }{ 8 } $ and $ y$-intercept $=\dfrac { 1 }{ 4 } $
$ To\quad obtain\quad the\quad slope\quad and\quad y-intercept\quad of\quad an\quad equation\quad of\quad any\quad form\ write\quad it\quad in\quad slope-intercept\quad form\quad which\quad is\quad y=mx+c.\ Then\quad slope=m\quad and\quad y-intercept=c.\ $
The given equation is: $5x - 8y = -2$
$-8y = -5x - 2$
$y = \dfrac{5}{8}x + \dfrac{2}{8} $
Compare it with general form of equation: $y = mx + c$
m = $\dfrac{5}{8}$, y - intercept = c = $ \dfrac{1}{4}$