How do you find the slope and intercept of $y=3x+2$ ?

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Answer 1 · 2016-05-04T18:51:25

$color(blue)("the slope is 3 (taken from "3x$ )
$color(blue)(x_("intercept")=-2/3)$
$color(blue)(y_("intercept")=2)$

$color(blue)("the slope is 3 (taken from "3x$ )
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$color(brown)(x_("Intercept")" is at y=0")$

$" "0=3x+2$

$color(brown)("Subtract 2 from both sides")$

$" "0-2=3x+2-2$

$color(brown)("But "0-2=-2" and "+2-2=0)$

$" "-2=3x$

$color(brown)("Divide both sides by 3")$

$" "-2/3= 3/3xx x$

$color(brown)("But "3/3=1" and "1xx x = x)$

$" "-2/3=x$

Write as $color(blue)(x_("intercept")=-2/3)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$color(brown)(y_("intercept")" is at "x=0)$

$" "y=3(0)+2$

$color(brown)("but "3xx0 =0)$

$" "y=0+2$

$" "color(blue)(y_("intercept")=2)$

How do you find the slope and intercept of y=3x+2y=3x+2?