Question

Find the slope of the given line, if it is defined.

The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.

Answer 1

Answer: A. The slope is
`-(4)/(3)`.

Explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

`\text{Slope}=(d-b)/(c-a)`

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

`\text{Slope}=(12-0)/(-9-0)\\\\\Rightarrow\ \text{Slope}=(12)/(-9)\\\\\Rightarrow\ \text{Slope}=-(4)/(3)`

Hence, the slope is
`-(4)/(3)`.