What are the intercepts of $6 x + 22 y = 4$ $6x+22y=4$ ?

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Answer 1 · 2015-12-19T22:29:37

$x = \frac{2}{3}, y = \frac{2}{11}$ $x=2/3 , y=2/11$

Finding the $y$ $y$ intercept

Set $x = 0$ $x=0$ and solve for $y$ $y$

$6 (0) + 22 y = 4$ $6(0)+22y=4$
$22 y = 4$ $22y=4$

Divide both sides by 22

$y = \frac{4}{22}$ $y=4/22$

Simplify

$y = \frac{2}{11}$ $y=2/11$

Finding the $x$ $x$ intercept

Set $y = 0$ $y=0$ and solve for $x$ $x$

$6 x + 22 (0) = 4$ $6x+22(0)=4$
$6 x = 4$ $6x=4$

Divide both sides by 6

$y = \frac{4}{6}$ $y=4/6$

Simplify

$y = \frac{2}{3}$ $y=2/3$

What are the intercepts of 6x+22y=46x+22y=4?