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

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Answer 1 · 2018-05-15T12:13:43

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, 8)#

First 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)^2-0.06)((x-2)^2+(y-1)^2-0.06)=0 [-14, 14, -7, 7]}

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

graph{(y+2x-5)(x^2+(y-5)^2-0.06)((x-2)^2+(y-1)^2-0.06)=0 [-14, 14, -7, 7]}