Question

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

Answer 1

See the explanation

Explanation:

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

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

`y_("intercept")=3(0)+8`

`color(blue)(y_("intercept")->(x,y)-> (0,8))`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Determine "x_("intercept")`

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

`0=3(x_("intercept")) +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.