A line goes through the points, (-3,1) and (-2,4) What is the slope of the line? Show your work.
Write the equation of the line in point-slope form. Show your work.
Write the equation of the line in slope-intercept form. Show your work

see below

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 4-1)/(-2- -3)

    = (4-1)/(-2+3)

    = 3/1

   = 3

Point slope form is

( y-y1)= m(x-x1)

using the first point

y-1 = 3( x--3)

y-1 = 3(x+3)

using the second point

y-4 = 3(x - -2)

y-4 = 3(x +2)

Slope intercept  form is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

Substituting a point into the equation

4 = 3(-2) +b

4 = -6 +b

Add 6 to each side

4+6 = b

10 =b

y = 3x+10

the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large