Question

An equation is y = 2 x +6.
Graph the equation.
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Answer 1

See attached file

Explanation:

We want to graph the equation

`y = 2x + 6`

We can plot two points and draw a straight line through them.

The easiest points to plot are the intercepts.

When x=0, y=2*0+6=0+6=6

So we plot our first point (0,6)

When y=0, we have 0=2x+6

`\implies \: 2x = - 6`

`x = - 3`

We again plot (-3,0)

With a straight edge we draw a straight line through the two points to obtain the graph in the attachment.