Question

Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?

Answer 1

To find the slope of a line given two points, you should use the formula,
`Slope= ( y_(2)-y_(1) )/( x_(2)- x_(1))`.

In this exercise is given the coordinates of two points and it is asked to find the slope of a line which intercepts both points, which are (-7,3) and (1,-9). To find the slope, you should substitute the given coordinates into the previous mention formula.


`Slope= ( y_(2)-y_(1) )/( x_(2)- x_(1))`

`Slope= ((3--9))/((-7-1))`

`Slope= (12)/(-8)`

`Slope=-1.5`

The slope of the line which passes through the coordinates (-7,3) and (1,9) is
`(-6)/(4)` or -1.5.

Answer 2

-9 - 3 / 1 - (-7)
This can be simplified to -12/8 or -3/2.