Question

What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1

3 x – 1
C.
y = 3x – 1
D.
y = 1

5 x – 1
E.
y = x + 1

Answer 1

The equation of the line passing through these two points (1, 2) and (3, 8) will be y  = 3x – 1. Then the correct option is C.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The points are (1, 2) and (3, 8).

Then the equation of the line passing through these two points (1, 2) and (3, 8) will be

$\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)$

On simplifying the equation, we have

y - 2 = 3(x – 1)

y - 2 = 3x – 3

   y  = 3x – 1

More about the linear system link is given below.

https://brainly.com/question/20379472

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