Determine wheather the points are on the graph of the line?

Question

4y-2x=6

a.) (1,2)

 

 

 

 

 

 

 

y=4x+1

a.)(-3,13)

b.)(-1,-3)

 

 

 

 

 

 

 

 

Answer 1

Hello again Juliana, 

Part I: To see if 4y-2x=6 has (1,2):

Plug in for x 

4y-2x=6

4y-2=6

4y=6+2

4y=8

y=2

Since we get a y value of 2, we can conclude that 4y-2x=6 does pass through (1,2).

Part II: To see if y=4x+1 has (-3,13):

Plug in for x

y=4x+1

y=4(-3)+1

y=-12+1

y=-11

Since we get a y value of -11 (instead of +13), we conclude 4y-2x=6 does NOT pass through (-3,13).

Part III: To see if y=4x+1 has  (-1,-3):

y=4x+1

y=4(-1)+1

y=-4+1

y=-3

Since we get a y value of -3, we conclude that 4y-2x=1 does pass through (-1,-3).

∴4y-2x=6 does pass through (1,2) while y=4x+1 does NOT pass through (-3,13), and y=4x+1 does pass through (-1,-3).

Best, 

Star