How do you graph the linear function f(x)=−x+4?
2 Answers
See a solution process below:
Explanation:
First, solve for two points which solve the function and plot these points:
First Point: For
Second Point: For
We can next plot the two points on the coordinate plane:
graph{(x^2+(y-4)^2-0.075)((x-4)^2+y^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+x-4)(x^2+(y-4)^2-0.075)((x-4)^2+y^2-0.075)=0 [-20, 20, -10, 10]}
Explanation:
one way is to find the intercepts, that is where the graph
crosses the x and y axes
∙ let x = 0, in the equation for y-intercept
∙ let y = 0, in the equation for x-intercept
x=0⇒y=4←y-intercept
y=0⇒−x+4=0⇒x=4←x-intercept
Plot the points (0,4) and (4,0)
Draw a straight line through them for graph
graph{(y+x-4)((x-0)^2+(y-4)^2-0.04)((x-4)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}
