
Andrew M. answered 01/29/18
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
containing the point (1,7) and perpendicular to the line 3x + 9Y=18
For line ax + by = c the slope is m = -a/b
The slope of 3x + 9y = 18 is -3/9 = -1/3
A perpendicular line will have a slope of -1/m = -1/(-1/3) = 3
You want the equation of a line with slope m = 3 containing (1, 7)
y = mx + b
y = 3x + b
Using (1,7) as (x,y) find b
7 = 3 + b
b = 4
y= 3x + 4