Question

What is the slope of the line containing (-3, 5) and (6, -1)?

O A. -1
O B.-2/3
O C. 1
OD. 2/3

Answer 1

We can find the slope by using the formula y2-y1/x2-x1. y2 and x2 are our second y and x coordinates, meanwhile y1 and x1 are our first y and x coordinates. If we plug in our numbers, we get -1-5/6-(-3). This gives us -1-5/6+3. -1-5/6+3 is -6/9. -6/9 is equal to -2/3. The answer is B.

Answer 2

-2/3

Explanation:

The slope of a line can be represented as
`(y_(2) -y_(1) )/(x_(2)- x_(1) )` where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

`(-1-5)/(6-(-3)) =(-6)/(6+3) =(-6)/(9) =-(2)/(3)`