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How do you write $2 x - 5 y = 15$ $2x-5y = 15$ in slope-intercept form?

1 Answer

Alan P. · Stefan V.

Oct 17, 2016

$y = \frac{2}{5} x - 3$ $y=color(green)(2/5)xcolor(blue)(-3)$

Explanation:

Our target form is
$XXX y = m x + b$ $color(white)("XXX")y=color(green)mx+color(blue)b$
which is the slope-intercept form with slope $m$ $color(green)m$ and y-intercept $b$ $color(blue)(b)$

$2 x - 5 y = 15$ $2x-5y=15$

$\to - 5 y = - 2 x + 15$ $rarr -5y=-2x+15$

$\to y = \frac{- 2}{- 5} x + \frac{15}{- 5}$ $rarr y=(-2)/(-5)x+(15)/(-5)$

$\to y = \frac{2}{5} x - 3$ $rarr y=color(green)(2/5)xcolor(blue)(-3)$

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