Question

What is the slope of the line below? A 2 2 Question 6 of 15

Answer 1

Question:

Solution:

By definition, the slope of the line is given by the following equation:

`m\text{ = }(Y2-Y1)/(X2-X1)`

where (X1,Y1) and (X2,Y2) are points on the line. In this case, take any two points on the line and replace them in the above equation. Take for example:

(X1,Y1) =(-3,3)

(X2,Y2) = (3,0)

then we have:

`m\text{ = }(Y2-Y1)/(X2-X1)=\text{ }(0-3)/(3-(-3))=(-3)/(3+3)=(-3)/(6)=\text{ }(-1)/(2)`

we can conclude that the correct answer is:

`m\text{ = - }(1)/(2)`