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What are the intercepts of : $4y= - 5x + 2$ ?

1 Answer

Feb 4, 2016

y-intercept: $1/2color(white)("XXXXXX")$ x-intercept: $2/5$

Explanation:

The y-intercept is the value of $y$ where the equation crosses the Y-axis; that is it is the value of $y$ when $x=0$
$color(white)("XXX")4y=-5x+2$ with $x=0$
$color(white)("XXX")rarr 4y=+2$
$color(white)("XXX")rarr y=1/2$

Similarly the x-intercept is the value of $x$ when $y=0$
$color(white)("XXX")4y=-5x+2$ with $y=0$
$color(white)("XXX")rarr 0=-5x+2$
$color(white)("XXX")rarr 5x=2$
$color(white)("XXX")rarr x=2/5$

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