Question

How do you graph the line `y = 2/3x + 4`?

Answer 1

• Start at the point `(0,4)` then go up two and three to the right.
  Repeat and connect the points with a straight line.

Explanation:

Use the y = mx + b form. b is the y intercept - the place where the line crosses the y-axis. ( b = beginning)

The y intercept is the point where `x = 0`

In this equation `b = 4`. This is the y intercept where `x = 0`

So the point to start graphing from is `(0, 4)`
The x-value is always first in a point `(x, y)`

The slope is the angle at which the line leans.

This is the `m` in the the `y = mx + b` equation.
(m = mountain slope)

In this equation, `m = 2/3`

Slope equals `(Deltay)/(Deltax)` so `y =2 and x = 3.`

`y` is the up and down value so the line moves up 2 points.
( 2 is positive so the line goes up 2: if the value was -2 the line would go down 2)

`x` is the right and left value so the line moves three points to the right.
(3 is positive so the line goes to the right:
If the value was negative the line would go to the left.)

Count 2 up and three to the right and make a point,
Do this procedures several times starting at `(0,4)`
The points will connect in a straight line.