SOLUTION: I was given an equation of a line and a point and told to determine whether the point is on the line using substitution. Heres two problems y=x-4;A(5,1) y=4x+2;A(1,6)

Algebra ->  Expressions-with-variables -> SOLUTION: I was given an equation of a line and a point and told to determine whether the point is on the line using substitution. Heres two problems y=x-4;A(5,1) y=4x+2;A(1,6)      Log On


   



Question 154581: I was given an equation of a line and a point and told to determine whether the point is on the line using substitution. Heres two problems

y=x-4;A(5,1)



y=4x+2;A(1,6)

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Problem #1:
point:A(5,1)
equation:y=x-4
.
The points are given in an (x,y) order. Simply "plug" the given point into the equation and see if the equation holds.
y=x-4
1=5-4
1=1 (checks)
Yes, the point falls ON the line.
.
Problem #2:
point:A(1,6)
equation:y=4x+2
.
The points are given in an (x,y) order. Simply "plug" the given point into the equation and see if the equation holds.
y=4x+2
6=4(1)+2
6=4+2
6=6 (checks)
Yes, the point falls ON the line.