the equation of a line parallel to the given line and passing through the given point can be found by using the point-slope form of a linear function.
y - y₁ = m(x - x₁) where 'm' is the slope and (x₁ , y₁) is the given point.
Now first, we need to realize that parallel lines have the same slope. As a result, the line we are looking for will have a slope equal to our given line's slope, or 1/4
We just substitute into the equation as follows:
[tex]y + 4 = \frac{1}{4}(x -2) [/tex]
Now you can solve for y to put this into slope-intercept form if you like:
[tex]y= \frac{1}{4} x -4 \frac{1}{2} [/tex]
