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How do you find the slope and y intercept for: $6 x - 3 y = 18$ $6x - 3y=18$ ?

1 Answer

Oct 9, 2015

Slope: $2$ $2$
y-intercept: $- 6$ $-6$

Explanation:

Method 1
For a linear equation in the standard form $A x + B y = C$ $Ax+By=C$
the slope is $m = - \frac{A}{B}$ $m=-A/B$
In this case
$XXX m = - \frac{6}{- 3} = 2$ $color(white)("XXX")m=-6/(-3) =2$

The y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$
$XXX 6 (0) - 3 y = 18$ $color(white)("XXX")6(0)-3y=18$
$XXX \to y = - 6$ $color(white)("XXX")rarr y=-6$

Method 2
Convert $6 x - 3 y = 18$ $6x-3y=18$ into slope-intercept form: $y = m x + b$ $y=color(red)(m)x+color(blue)(b)$
$XXX 6 x - 3 y = 18$ $color(white)("XXX")6x-3y=18$

$XXX \to - 3 y = - 6 x + 18$ $color(white)("XXX")rarr-3y=-6x+18$

$XXX \to y = 2 x + (- 6)$ $color(white)("XXX")rarr y=color(red)(2)x+color(blue)((-6))$

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