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What are the intercepts of the line $8 x + 6 y = 12$ $8x + 6y = 12$ ?

1 Answer

Sep 25, 2015

x-intercept is $\frac{3}{2}$ $3/2$

y-intercept is $2$ $2$

Explanation:

The x-intercept is the value of $x$ $x$ when $y = 0$ $y=0$
$XXX 8 x + 6 (0) = 12$ $color(white)("XXX")8x+6(0) = 12$
$XXX \to 8 x = 12$ $color(white)("XXX")rarr 8x = 12$
$XXX \to x = \frac{12}{8} = \frac{3}{2}$ $color(white)("XXX")rarr x = 12/8 =3/2$

The y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$
$XXX 8 (0) + 6 y = 12$ $color(white)("XXX")8(0)+6y = 12$
$XXX \to 6 y = 12$ $color(white)("XXX")rarr6y = 12$
$XXX \to y = \frac{12}{6} = 2$ $color(white)("XXX")rarry = 12/6 = 2$

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