Parametric, General, and Slope-Intercept Equations of Line

Project ID: 
7500000019
Question: 
Find the matching triples consisting of the parametric form, the general (standard) form, and the slope-intercept form of the equation of a straight line.
Header 1: 
Parametric Form
Header 2: 
General Form
Header 3: 
Slope-intercept Form
Text 11: 
$\left.\begin{aligned} x &= -1 + 3t\cr y &= 3-2t\cr \end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 21: 
$2x + 3y - 7 = 0$
Text 31: 
$y = -\frac23 x+\frac73$
Text 12: 
$\left.\begin{aligned} x&= -1 + 3t\cr y &= -3 + 2t \end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 22: 
$2x - 3y - 7 = 0$
Text 32: 
$y = \frac23 x-\frac73$
Text 13: 
$\left.\begin{aligned} x &= 1 + 3t\cr y &= 3 + 2t\end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 23: 
$2x - 3y + 7 = 0$
Text 33: 
$y = \frac23 x+\frac73$
Text 14: 
$\left.\begin{aligned} x &= 1 + 3t\cr y &= -3 - 2t\end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 24: 
$2x + 3y + 7 = 0$
Text 34: 
$y = -\frac23 x-\frac73$
Text 15: 
$\left.\begin{aligned} x &= 3 - 2t\cr y &= 1 - 3t\end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 25: 
$3x - 2y - 7 = 0$
Text 35: 
$y = \frac32 x-\frac72$
Text 16: 
$\left.\begin{aligned} x &= -3 + 2t\cr y &= 8 - 3t\end{aligned}\ \right\}\ t\in\mathbb{R}$
Text 26: 
$3x + 2y - 7 = 0$
Text 36: 
$y = -\frac32 x+\frac72$
Workflow: 
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