Posted by anonymous on .
Find the slope of any line perpendicular to the line through the points (0,5) and (3,4)
Write the equation of the line passing through each of the given pairs of points. Write the answer in slopeintercept form, where possible. (1,3) and (4,2)

algebra 
drwls,
You have asked two separate questions.
In the first problem, get the slope of the line between those points. It is
m = (y2y1)/(x2x1)
=(4 5)/(30) = 9/3 = 3
The slope of a line perpendicular to that has to be 1/3, because the product of the two slopes must be 1.
In the second problem, first get the slope
m = (2 3)/[4(1)] = 1
So y = x + b
Solve for b by requiring
3 = (1) + b
b = 2
y = x +2