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How do you find the slope and intercept of $y = 3 x + 4$ $y=3x+4$ ?

1 Answer

Dec 15, 2015

Slope: $3$ $3$
y-intercept: $4$ $4$
x-intercept: $(- \frac{4}{3})$ $(-4/3)$

Explanation:

Any linear equation in the form
$XXX y = m x + b$ $color(white)("XXX")y=mx+b$
is said to be in slope-intercept form with slope $m$ $m$ and y-intercept $b$ $b$

$y = 3 x + 4$ $y=3x+4$ is in this form
So the slope is $3$ $3$ and the y-intercept is $4$ $4$

To find the x-intercept, set $y = 0$ $y=0$ and solve for $x$ $x$
$XXX 0 = 3 x + 4$ $color(white)("XXX")0=3x+4$

$XXX - 3 x = 4$ $color(white)("XXX")-3x=4$

$XXX x = - \frac{4}{3}$ $color(white)("XXX")x=-4/3$

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