Question 240850
Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.
4y = x; (4,0)
Put equation in slope intercept form y - mx + b
4y = x
divide both sides by 4
y = {{{1/4}}}x
the slope is 1/4 and the intercept is 0
;
Parallel lines have equal slopes:
:
Use the point slope formula: y - y1 = mx(x - x1)
In this problem m = 1/4, x1 = 4; y1 = 0
:
y - 0 = {{{1/4}}}(x - 4)
y =  {{{1/4}}}x - 1 is line parallel to 4y=x and go thru 4,0