Question

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

Determine the value of q

Answer 1

`\rm q = 26`

Explanation:

Given :-

• The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

And we need to find out the value of q. Since the point lies on the given line , it will be a solution of the line. On substituting the values of x and y , we have ,

Given line :-

`\rm\implies y = 8x + 2`

Substituting the respective values :-

`\rm\implies q = 8*3 + 2 \\\\\rm\implies q = 24 + 2 \\\\\rm\implies \boxed{\rm q = 26 }`

Hence the value of q is 26 .

Answer 2

q = 26

Explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26