Consider the given equation of a line.
y+2=4(x-1)
When lines are parallel, they have the same slope.
To help us identify the slope of this line, let's first convert it into slope-intercept form, y=mx+ b, where m is the slope and (0, b) is the y-intercept.
With this, we can more easily identify the slope m.
y=4x-6
We can write a general equation in slope-intercept form for these lines.
y=4x+ b
We are asked to write the equation of a line parallel to the given equation that passes through the point ( 1, - 3). 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.
