How do you graph #f(x) = -2x - 5#?

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Answer 1 · 2018-03-19T22:59:15

See a solution process below:

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

First Point: For #x = 0#

#f(x) = (-2 * 0) - 5#

#f(x) = 0 - 5#

#f(x) = -5# or #(0, -5)#

Second Point: For #x = -2#

#f(x) = (-2 * -2) - 5#

#f(x) = 4 - 5#

#f(x) = -1# or #(-2, -1)#

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

graph{(x^2+(y+5)^2-0.1075)((x+2)^2+(y+1)^2-0.1075)=0 [-20, 20, -10, 10]}

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

graph{(y + 2x + 5)(x^2+(y+5)^2-0.1075)((x+2)^2+(y+1)^2-0.1075)=0 [-20, 20, -10, 10]}