SOLUTION: Find three solutions of the equation. y= 2x-6 A.(–2, –10), (1, –4), (2, –1) B.(–2, –10), (1, –4), (0, –6) C.(0, –6), (3, –2), (–2, –10) D.(1, –4), (0, –6), (–1, –9)

Algebra ->  Linear-equations -> SOLUTION: Find three solutions of the equation. y= 2x-6 A.(–2, –10), (1, –4), (2, –1) B.(–2, –10), (1, –4), (0, –6) C.(0, –6), (3, –2), (–2, –10) D.(1, –4), (0, –6), (–1, –9)      Log On


   



Question 720652: Find three solutions of the equation. y= 2x-6
A.(–2, –10), (1, –4), (2, –1)
B.(–2, –10), (1, –4), (0, –6)
C.(0, –6), (3, –2), (–2, –10)
D.(1, –4), (0, –6), (–1, –9)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=+2x-6
plug in given points, and if left side equal to the right side, points are solution
(x, y)=(–2, –10), (1, –4), (2, –1)
y=+2x-6.....plug in x=-2 and y=-10
-10=+2%28-2%29-6
-10=-4-6
-10=-10.....this point lie on given line

y=+2x-6.....plug in x=1 and y=-4
-4=+2%281%29-6
-4=2-6
-4=-4.....this point also lie on given line

y=+2x-6.....plug in x=2 and y=-1
-1=+2%282%29-6
-1=4-6
-1=-2.....this point does highlight%28not%29 highlight%28lie%29 on given line
so, A is highlight%28not%29 solution

let's check B

(x, y)=(–2, –10), (1, –4), (0, –6)
y=+2x-6.....plug in x=-2 and y=-10
-10=+2%28-2%29-6
-10=-4-6
-10=-10.....this point highlight%28lie%29 on given line

y=+2x-6.....plug in x=1 and y=-4
-4=+2%281%29-6
-4=2-6
-4=-4.....this point also highlight%28lie%29 on given line

y=+2x-6.....plug in x=0 and y=-6
-6=+2%280%29-6
-6=0-6
-6=-6.....this point highlight%28lie%29 on given line
so, B highlight%28is%29 solution


let's check C

(x, y)=(0, –6), (3, –2), (–2, –10)
y=+2x-6.....plug in x=-2 and y=-10
-10=+2%28-2%29-6
-10=-4-6
-10=-10.....this point lie on given line

y=+2x-6.....plug in x=3 and y=-2
-2=+2%283%29-6
-2=6-6
-2=0.....this point does highlight%28not%29 highlight%28lie%29 on given line

y=+2x-6.....plug in x=0 and y=-6
-6=+2%280%29-6
-6=0-6
-6=-6.....this point lie on given line
so, C is highlight%28not%29 solution


let's check D

(x, y)=(1, –4), (0, –6), (–1, –9)
y=+2x-6.....plug in x=1 and y=-4
-4=+2%281%29-6
-4=2-6
-4=-4.....this point lie on given line

y=+2x-6.....plug in x=-1 and y=-9
-9=+2%28-1%29-6
-9=-2-6
-9=-8.....this point does highlight%28not%29 lie on given line

y=+2x-6.....plug in x=0 and y=-6
-6=+2%280%29-6
-6=0-6
-6=-6.....this point lie on given line
so, D is highlight%28not%29 solution

so, your solution is B