The equation of the line in slope intercept form is [tex]y=2x+1[/tex]
Explanation:
The point A is [tex](1,3)[/tex]
The equation of line for B is given by [tex]y=2x-2[/tex]
We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.
Since, the lines of equation are parallel, their slopes are same.
Thus, the slope is [tex]m=2[/tex]
Now, let us substitute the point [tex]A(1,3)[/tex] and slope [tex]m=2[/tex] in the slope - point formula, we have,
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-3=2\left(x-1\right)[/tex]
[tex]y-3=2x-2\right)[/tex]
[tex]y=2x-2+3\right)[/tex]
[tex]y=2x+1[/tex]
Thus, the equation of the line in slope - intercept form is [tex]y=2x+1[/tex]
