Question

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
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Answer 1

positive

Explanation:

took the test got 100%

Answer 2

Positive

Explanation:

The slope of a line represents the rate of change of the y-variable (dependent variable) with respect to the rate of change of the x-variable.

In particular, for a line passing through the points

`(x_1,y_1)`

and

`(x_2,y_2)`

The slope of the line is given by

`m=(y_2-y_1)/(x_2-x_1)`

In this problem, we are given the coordinates of three points, so we can use two of them, such as

(0,0)

(5,1)

Substituting into the equation, we find the slope of the line:

`m=(1-0)/(5-0)=(1)/(5)`

which is a positive number: so, the slope of the line is positive.