Question

On which of the following lines does the point (–3, –1) lie?

a) y = 5x-1

b) y = 3x + 9

c) y = -4x - 6

d) y = -3x - 10

Answer 1

the answer will be
d) y = -3x -10

Answer 2

The point lie in the equation is y = -3x-10

(d) is correct option

Step-by-step explanation:

Given that,

The point is (-3,-1)

`x = -3`

`y =-1`

We need to find the equation of lines

We will put the value of x and y in each equation then which equation will be satisfy that means

The point lie in equation.

(a). y = 5x-1

Put the value of x and y in equation

`-1=5*-3-1`

`-1=-16`

(b). y = 3x+9

Put the value of x and y in equation

`-1=3*-3+9`

`-1=0`

(c). y = -4x-6

Put the value of x and y in equation

`-1=-4*-3-6`

`-1=6`

(d). y = -3x-10

Put the value of x and y in equation

`-1=-3*-3-10`

`-1=-1`

Hence. The point lie in the equation is y = -3x-10