Consider the given equation of a line.
y=3x-2
When lines are parallel, they have the same slope. Because of this, we know that all lines that are parallel to the line whose equation is given will have a slope of 3.
We can write a general equation in slope-intercept form for these lines.
y=3x+ b
We are asked to write the equation of a line parallel to the one with given equation that passes through the point ( 0, 1). By substituting this point into the above equation for x and y, we will be able to solve for the y-intercept b of the parallel line.
