How do you graph #f(x)=5x-8 # by plotting points?

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Answer 1 · 2018-05-17T14:28:37

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) = (5 * 0) - 8#

#f(x) = 0 - 8#

#f(x) = -8# or #(0, -8)#

First Point: For #x = 2#

#f(x) = (5 * 2) - 8#

#f(x) = 10 - 8#

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

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

graph{(x^2+(y+8)^2-0.15)((x-2)^2+(y-2)^2-0.15)=0 [-26, 26, -13, 13]}

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

graph{(y - 5x + 8)(x^2+(y+8)^2-0.15)((x-2)^2+(y-2)^2-0.15)=0 [-26, 26, -13, 13]}