How do you find the slope and y-intercept given $9 x - 3 y = - 1$ $9x-3y= -1$ ?

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How do you find the slope and y-intercept given $9 x - 3 y = - 1$ $9x-3y= -1$ ?

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Answer 1 · 2015-07-14T11:54:11

Slope $= 3$ $=3$
y intercept is $\frac{1}{3}$ $1/3$

Explanation:

Slope
From standard form:
$XXXX$ $color(white)("XXXX")$ $A x + B y = C$ $Ax+By = C$
the slope can be determined as $(- \frac{B}{A})$ $(-B/A)$
or
you could convert the given equation into slope intercept form:
$XXXX$ $color(white)("XXXX")$ $9 x - 3 y = - 1$ $9x-3y =-1$

$XXXX$ $color(white)("XXXX")$ $\to - 3 y = - 9 x - 1$ $rarr -3y = -9x-1$

$XXXX$ $color(white)("XXXX")$ $= y = 3 x + \frac{1}{3}$ $= y = 3x+1/3$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ (slope intercept form)

y-intercept
If you used the "convert to slope-intercept form" version (above) then the y-intercept can be read directly from the equation (as $\frac{1}{3}$ $1/3$ ).

If you used the slope $= (- \frac{B}{A})$ $= (-B/A)$ version
set $x = 0$ $x=0$ in the given equation and solve for $y$ $y$
$XXXX$ $color(white)("XXXX")$ $9 (0) - 3 y = - 1$ $9(0) - 3y = -1$

$XXXX$ $color(white)("XXXX")$ $\to - 3 y = - 1$ $rarr -3y = -1$

$XXXX$ $color(white)("XXXX")$ $\to y = \frac{1}{3}$ $rarr y = 1/3$

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How do you find the slope and y-intercept given $9 x - 3 y = - 1$ $9x-3y= -1$ ?

1 Answer

Explanation:

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How do you find the slope and y-intercept given $9 x - 3 y = - 1$ $9x-3y= -1$ ?