Question

What is the equation in point-slope form and slope intercept form of the line containing the point (4, 6) and the parallel to the line `y= 1/4x + 4`?

Answer 1

Line `y1 = x/4 + 4`

Line 2 parallel to Line y1 has as slope: 1/4

`y2 = x/4 + b.`

Find b by writing that Line 2 passes at point (4, 6).

`6 = 4/4 + b -> b = 6 - 1 = 5.`

Line `y2 = x/4 + 5`