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What is the slope and y-intercept of the line $2y-6=3x$ ?

1 Answer

Sep 4, 2017

slope: $color(green)(3/2)color(white)("XXXXX")$ y-intercept: $color(blue)3$

Explanation:

A linear equation in the slope-intercept form
$color(white)("XXX")y=color(green)mx+color(blue)b$
has a slope of $color(green)m$
and a y-intercept of $color(blue)b$

Given
$color(white)("XXX")2y-6=3x$

We can convert this into slope-intercept form:

$color(white)("XXX")2y=3x+6$

$color(white)("XXX")y=color(green)(3/2)x+color(blue)3$

with a slope of $color(green)(m=3/2)$
and a y-intercept of $color(blue)3$

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