The graph of a linear function is shown.

A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?

positive
negative
zero
undefined

See picture for answer and explanation.

We can completely define a line equation by only knowing two points on the line, so we will use that to find our line's slope.

The slope is positive. (We will see that the slope is equal to 1/5).

The first general rule is that, if the line, readen from lest to right increases, then the slope is positive. (Here by the description we know that it increases).

But let's find the slope to see this.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

Here we can use two of the given points to find the slope, I will use the first two: (-5, -1) and (0, 0)

We will get:

So the slope is 1/5, which is positive.

Then the correct option is the first one.

If you want to learn more, you can read:

link

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.