Question

What is the slope intercept form of the equation for the line?

Answer 1

The slope intercept form is:

`y=mx+b`

Where is
`m` the slope of the line and
`b` the intercept with the y-axis.

To find the slope, take any two points from the table provided. For example:

(1, 1/5)

(3, 1)

So:

`m = (1- 1/5)/(3-1)`

`m = (2)/(5)`

Now we find b substituting any point of the table in the equation:

`y_0 = (2)/(5)x_0 + b`

We substitute the poiunt (3, 1) for example:

`1 = (2)/(5)(3) + b`

Now we solve for b:

`b = 1 -(6)/(5)\\\\b = -(1)/(5)`

Finally, the equation is:

`y = (2)/(5)x -(1)/(5)`

The answer is the last option