Find an equation in slope intercept form for the line through point p(-3, 2) and perpendicular to the line
containing the two points (2, 3) and (1, -2).

see explanation

Step-by-step explanation:

We require to find the slope m of the line joining the 2 given points

To find m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,3) and (x₂, y₂ ) = (1, - 2)

m = = = 5

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

= - = -

The equation of a line in slope- intercept form is

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

y = - x + c ← is the partial equation of the perpendicular line

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

2 = + c ⇒ c =

y = - x + ← perpendicular equation

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

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)