SOLUTION: Write the equation of the following lines in slope y-intercept form and sketch their graph: the line containing (2,6) and perpendicular to the line 4y=x-4

Algebra ->  Average -> SOLUTION: Write the equation of the following lines in slope y-intercept form and sketch their graph: the line containing (2,6) and perpendicular to the line 4y=x-4      Log On


   

Question 893292: Write the equation of the following lines in slope y-intercept form and sketch their graph: the line containing (2,6) and perpendicular to the line 4y=x-4
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Given 4y=x-4, slope-intercept form is y=x%2F4-1. Slope is %281%2F4%29.

A line perpendicular to that must be like y=-4x%2Bb, but you do not yet know b.
You want this perpendicular line to contain the point, (2,6).

y=-4x%2Bb
y%2B4x=-4x%2Bb%2B4x
y%2B4x=b
b=y%2B4x
substitute the point.
b=6%2B4%2A2
highlight_green%28b=14%29

Line's equation you want is highlight%28y=-4x%2B14%29.