Question

what is the equation of a line that has the same slope as the equation 2x - y = 1 and has a y-intercept of 3

Answer 1

Given the equation:

`2x-y=1`

If we solve for y, we get the following:

`\begin{gathered} 2x-y=1 \\ \Rightarrow2x=1+y \\ \Rightarrow2x-1=y \end{gathered}`

Now, we know that the slope-intercept equation of the line is:

`y=mx+b`

then, in this case, m=2.

Since the y-intercept is 3, we have that the equation of a line that has the same slope as the equation 2x-y =1 is:

`y=2x+3`