Question

How do you graph the line `y = 4/5x + 3`?

Answer 1

Assign value for x to find y.

Explanation:

If x is zero, `y=3`

If x is 1, `y=3.8`

If x is 2, `y=4.6`

etc.

You can graph now:

graph{((4x)/5)+3 [-8.04, 11.96, -2.4, 7.6]}

Answer 2

Refer to the explanation.

Explanation:

Graph:

`y=4/5x+3`

You only need two points to graph a straight line. The most convenient points are the x- and y-intercepts.

Y-intercept: value of `y` when `x=0`

Substitute `0` for `x` and solve for `y`.

`y=4/5(0)+3`

`y=3`

The y-intercept is the point `(0,3)`. Plot this point.

X-intercept: value of `x` when `y=0`

Substitute `0` for `y` and solve for `x`.

`0=4/5x+3`

Multiply both sides by `5`.

`0=4x+3xx5`

`0=4x+15`

Subtract `15` from both sides.

`-15=4x`

Divide both sides by `4`.

`-15/4=x`

Switch sides.

`x=-15/4` or `x=-3.75`

The x-intercept is the point `(-15/4,0)` or `x=(-3.75,0)`. Plot this point.

You now have two points plotted. Draw a straight line through the points.

graph{y=4/5x+3 [-10, 10, -5, 5]}