SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (9,2) and (10,-5)

Algebra ->  Linear-equations -> SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (9,2) and (10,-5)      Log On


   

Question 189777: Find the slope, if it exists, of the line containing the pair of points.
(9,2) and (10,-5)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given points: (9,2) & (10,-5)
wheresystem%28x%5B1%5D=9%2Cx%5B2%5D=10%2Cy%5B1%5D=2%2Cy%5B2%5D=-5%29

Via Slope-Point Form, Slope=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-5-2%29%2F%2810-9%29=-7%2F1=highlight%28-7%29, answer



*If you want to see the graph, let's check the intercepts.

Via Slope-Intercept Form, y=mx%2Bb
Thru point (9,2):
2=%28-7%29%2A%289%29%2Bb
2=-63%2Bb ---> b=2%2B63=red%2865%29, y-Intercept

Another point (10,-5),(should be the same):
-5=%28-7%29%2810%29%2Bb
-5=-70%2Bb ---> b=-5%2B70=red%2865%29, y-Intercept

We let Fy=0, to get x-Intercept:
0=%28-7%29%28x%29%2B65
7x=75 ----> cross%287%29x%2Fcross%287%29=65%2F7
red%28x=65%2F7%29, x-Intercept


Therefore, your Line Eqn ----> y=-7x+65

Having Slope=m=-7%2F1=DELTA%28y%29%2FDELTA%28x%29=%28up%2Adown%29%2F%28let%2Aright%29

From y-Intercept (0,65):

Next point,
X:0%2Bred%281%29=1
Y:65%2Bred%28-7%29=58
(1,58)

Next point,
X: 1%2Bred%281%29=2
Y: 58%2Bred%28-7%29=51
(2,51)

Next point,
X: 2%2Bred%281%29=3
Y: 51%2Bred%28-7%29=44
(3,44)

You can do the other points, and from what we gathered we'll see the graph,


----> Slope in GREEN dots

Thank you,
Jojo