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

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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 cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

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