11.
X Y
–9 -2
-5 -7
-1 -12
3 -17
OK Haley ....this isn't difficult....just time consuming
If the differences in the x's and y's are constant, we have a line....if not, we don't
Notice that the difference in one x to another reading downward is +4
For example -9 + 4 = -5 and -5 + 4 = -1 and -1 + 4 = 3 ...... etc.
And the difference in one y to another reading downward is also constant = -5
For example -2 - 5 = -7 and -7 - 5 = -12 ........etc
So...if we have a line......as we did in number 6.....use any two of the points to find the slope and then write the equation
For exampe in 11, we can use ( -9, -2) and (-5, -7)
( x1, y1 ) (x2, y2)
The slope = m = [y2 - y1] / [ x2 - x1] = [-7 - (-2)] / [-5 - (-9)] = -5 / 4
And the equation .....in point-slope form is
y - (-7) = (-5/4) [ x - (-5)] [remember that we can use any point on the line in this equation]
The rest are similar.........if the differences in x's and y's are not constant......we don't have a line so don't worry about writing an equation in that case
[13 is not a line...the y's are not constant......don't worry about it....!!! ]
