What is the equation of the line that is perpendicular to line m and passes through the point (3,2)

y = x +

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = = = -

given a line with slope m then the slope of a line perpendicular to it is

= - = - = , then

y = x + c ← is the partial equation

to find c substitute (3, 2 ) into the partial equation

2 = + c ⇒ c = 2 - = - =

y = x + ←  equation of perpendicular line

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.