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What are the intercepts of $3y-2x=5$ ?

1 Answer

Dec 20, 2015

y-intercept: $5/3$
x-intercept: $(-5/2)$

Explanation:

The y-intercept is the value on the Y-axis where the equation crosses the Y-axis. Since for all point on the Y-axis, $x=0$ , another way to say this is that the y-intercept is the value of $y$ when $x=0$

Given: $3y-2x=5$
when $x=0$
$color(white)("XXX")3y-2xx0=5 rArr y=5/3$
So the y-intercept is $5/3$

Similarly the x-intercept is the value of $x$ when $y=0$
$color(white)("XXX")3xx0-2x=5 rArr x=-5/2$
So the x-intercept is $(-5/2)$

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