# How do you graph y = 3x + 8?

Apr 11, 2016

See the explanation

#### Explanation:

color(blue)("Determine "y_("intercept"))

At y intercept $x = 0$ so by substitution we have

${y}_{\text{intercept}} = 3 \left(0\right) + 8$

$\textcolor{b l u e}{{y}_{\text{intercept}} \to \left(x , y\right) \to \left(0 , 8\right)}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Determine "x_("intercept}}$

x intercept is at $y = 0$ so by substitution we have

$0 = 3 \left({x}_{\text{intercept}}\right) + 8$

color(blue)(=>x_("intercept") ->(x,y)->(8/3 ,0)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Mark these two points an draw a line through them. Extend this line to edges of the axis scales.