How do you find the x and y intercept given $2 x + 5 y = 3$ $2x+5y=3$ ?

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Answer 1 · 2015-10-31T11:23:41

Plug in zero for each variable.

The x-intercept is the value of x when y=0, so plug in zero for y, and solve.

$2 x + 5 (0) = 3$ $2x+5(0)=3$
$2 x = 3$ $2x=3$
$x = \frac{3}{2}$ $x=3/2$

Now, do the same to find the y-intercept by plugging in zero for x.

$2 (0) + 5 y = 3$ $2(0)+5y=3$
$5 y = 3$ $5y=3$
$y = \frac{3}{5}$ $y=3/5$

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