Answer:
the equation of line w will be y = 1/109x + 325/109
Step-by-step explanation:
when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.
so if one slope is 2/3, the perpendicular slope would be -3/2
so in this problem, line w would have 1/109 be the slope.
using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)
m = 1/109
(2,3)
y = mx + b
3 = (1/109)2 + b
3 = 2/109 + b
327/109 = 2/109 + b
325/109 = b
putting it all together, the equation of line w will be y = 1/109x + 325/109
