Question

Which of the following coordinates exists on the line y = 3x + 1?

A. (3, 1)
B. (-1, -2)
C. (-3, 4)
D. (2, 6)

Answer 1

By substituting the x and y values of each coordinate into the given equation y = 3x + 1, it is determined that only the coordinate (-1, -2) lies on this line.

Step-by-step explanation:

The given equation is y = 3x + 1. To check which of the provided sets of coordinates lies on this line, we simply have to substitute the x and y values of each coordinate into the equation and check if it holds true.

1. A. For (3, 1), the equation becomes 1 ≠ 3*3 + 1, which is false.
2. B. For (-1, -2), the equation becomes -2 = 3*(-1) + 1, which is true.
3. C. For (-3, 4), the equation becomes 4 ≠ 3*(-3) + 1, which is false.
4. D. For (2, 6), the equation becomes 6 ≠ 3*2 + 1, which is false.

Thus, the only coordinate that lies on the line described by the equation y=3x+1 is (-1, -2).

Learn more about coordinates

Answer 2

We are given

equation of line as

`y=3x+1`

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

`1=3*3+1`

`1=10`

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

`-2=3*-1+1`

`-2=-2`

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

`4=3*-3+1`

`4=-8`

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

`6=3*2+1`

`6=7`

we can see that

they are not equal

so, this is FALSE