Which equation shows the point slope form of the line the glasses through (3,2) and has a slope of 1/3 a. y+2=1/3(x+3) b. y-2=1/3(x-3) c. y+3=1/3(x+2) d. y-3=1/3(x-2)

B

The equation of a line in ' point- slope form ' is

y - b = m( x - a )

where m is the slope and (a, b ) a point on the line

here m = and (a, b ) = (3, 2 )

y - 2 = ( x - 3 ) → in point- slope form

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)