What is the slope and intercept of $9 x - 6 y = 16$ $9x-6y=16$ ?

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Answer 1 · 2016-04-26T18:50:21

$s l o p e = \frac{3}{2}$ $slope=3/2$
$x = \frac{16}{9}$ $x=16/9$
$y = - \frac{8}{3}$ $y=-8/3$

$general line equation is given as y = m \cdot x + n$ $"general line equation is given as " y=color(red)(m)*x+n$

$m : s l o p e$ $m:slope$

$9 x - 6 y = 16$ $9x-6y=16$

$6 y = 9 x - 16$ $6y=9x-16$

$y = \frac{9}{6} x - \frac{16}{6}$ $y=9/6x-16/6$

$y = \frac{9}{6} x - \frac{16}{6}$ $y=color(red)(9/6) x-16/6$

$s l o p e = \frac{9}{6} = \frac{3}{2}$ $slope=9/6=3/2$

$intercepts:$ $"intercepts:"$

$for x intercept : y=0$ $"for x intercept : y=0"$

$0 = \frac{9}{6} x - \frac{16}{6}$ $0=9/6x-16/6$

$\frac{9}{6} x = \frac{16}{6}$ $9/6x=16/6$

$x = \frac{16}{9}$ $x=16/9$

$for y intercept x=0$ $"for y intercept x=0"$

$y = \frac{9}{6} \cdot 0 - \frac{16}{6}$ $y=9/6*0-16/6$

$y = - \frac{16}{6}$ $y=-16/6$

$y = - \frac{8}{3}$ $y=-8/3$

What is the slope and intercept of 9x-6y=169x−6y=169x-6y=16?