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 Now it is your turn to plan the trajectories required to launch a spacecraft through a specific route in space. The launch area is identified on the map below. Launch Area:___(1, 2)___
Point A:___(0, 3)___
Point B:___(-3, 0)___
Point C:___(-1, -4)___
Graph the coordinates of the specifics points in space your spacecraft will travel to.You must show your work on each question below.Determine the equation of the line, in standard form, that will get your spacecraft from the Launch Area to Point A.

Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.

Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.

Convert the equation you arrived at in question 2 into slope-intercept form. Make sure to include all of your work.

Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.



Answer :

pepe11
LA: 
slope: (3-2)/(0-1) = 1/-1 = -1
LA≡ y = -x + 3
AB:
slope (3-0)/(0--3) = 3/3 = 1
AB≡ y - 3 = 1(x-0) 
BC:
slope (0--4)/(-3--1) = 4/-2 = -2
BC≡y = -2(x+3) => y = -2x - 6

AB≡ y - 3 = 1(x-0)  => y = x + 3 

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