How do you graph #y= - \frac { 3} { 2} x - \frac { 27} { 2}#?

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Answer 1 · 2017-11-04T19:42:52

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point: For #x = 1#

#y = (-3/2 xx 1) - 27/2#

#y = -3/2 - 27/2#

#y = -30/2#

#y = -15# or #(1, -15)#

Second Point: For #x = -1#

#y = (-3/2 xx -1) - 27/2#

#y = 3/2 - 27/2#

#y = -24/2#

#y = -12# or #(-1, -12)#

We can next plot the two points on the coordinate plane:

graph{((x-1)^2+(y+15)^2-0.4)((x+1)^2+(y+12)^2-0.4)=0 [-40, 40, -20, 20]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y + (3/2)x + (27/2))((x-1)^2+(y+15)^2-0.4)((x+1)^2+(y+12)^2-0.4)=0 [-40, 40, -20, 20]}