Question

Which choice could be the equation of a line parallel to the line represented by this equation y=2x-3

A y=-1/2x+4
B y=2x+7
C y=-2x+1
D y=3/2x-5

Answer 1

b) y=2x+7
lines with the same slope are parallel lines

Answer 2

B y=2x+7

Explanation:

A first order function, also called a line, has the following format:

`y = ax + b`

In which a is the angular coefficient and b is the linear coefficient.

Lines are said to be parallel if they have the same angular coefficient.

In this problem, we have that:

`y = 2x - 3`

This line has an angular coefficient of 2.

So, a parallel line to this line will have an angular coefficient of 2.

The correct answer is:

B y=2x+7