How do you graph the equation by plotting points #y = -1.5x - 2#?

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Answer 1 · 2017-10-07T12:52:41

See a solution process below:

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

First Point: For #x = 0#

#y = (-1.5 * 0) - 2#

#y = 0 - 2#

#y = -2# or #(0, -2)#

Second Point: For #x = 2#

#y = (-1.5 * 2) - 2#

#y = -3 - 2#

#y = -5# or #(2, -5)#

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

graph{(x^2+(y+2)^2-0.075)((x-2)^2+(y+5)^2-0.075)=0 [-20, 20, -10, 10]}

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

graph{(y + 1.5x + 2)(x^2+(y+2)^2-0.075)((x-2)^2+(y+5)^2-0.075)=0 [-20, 20, -10, 10]}