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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

Sagot :

Given the equation:

[tex]2x-y=1[/tex]

If we solve for y, we get the following:

[tex]\begin{gathered} 2x-y=1 \\ \Rightarrow2x=1+y \\ \Rightarrow2x-1=y \end{gathered}[/tex]

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

[tex]y=mx+b[/tex]

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:

[tex]y=2x+3[/tex]

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