The two lines that are parallel to y = 2x - 1 that pass through the given points are:
a) y = 2x + 1
b) y = 2x
How to find the parallel lines?
A general linear equation is written in the slope-intercept form as:
y = a*x +b
Where a is the slope and b is the y-intercept.
Two lines are parallel if the slopes are equal but the y-intercepts are different.
So, here we want to find lines parallel to:
y = 2x - 1
These lines have the form:
y = 2x + b
a) If we want our line to pass thrugh A(0,1), we can replace the values of the point to get:
1 = 2*0 + b
1 = b
So the line is y = 2x + 1
b) if we want the line to pass through A(1,2) we can replace the values to get:
2 = 2*1 + b
2 = 2 + b
2 - 2 = b
0 =b
So this line is:
y = 2x
Learn more about linear equations at: