What is the equation of the line passing through the point (4, 6) and parallel to the line y= 1/4x + 4?
To draw a line you either need twoof its points, or one of its points and its slope. Let's use this second approach.
We already have the point
First of all, two lines are parallel if and only if they have the same slope. So, our line will have the same slope as the given line.
Secondly, to derive the slope from a line, we write its equation in the
In this case, the line is already in this form, so we immediately see that the slope is
Recapping: we need a line passing through
Expanding the right hand side:
So the answer is
Parallel lines have the same slope, so the missing equation must have
Following the given, substituting
Substituting into slope-intercept form, the final answer becomes: