The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal
2 answers:
Answer:
F(x)=-9+10.3x
Step-by-step explanation:
Given:
(1,0)
(2,10)
(3,20)
(4,30)
(5,40)
(6,50)
(7,65)
(8,70)
(9,80)
(10,90)
F(x)=9-10.3x and F(x)=10.3-9x cannot be the function of given scatter plot since the slope in these functions are negative
So, The equation of line can be F(x)=-10.3+9x or F(x)=-9+10.3x
Refer the attached figure.
Using desmos calculator
We conclude that the function is best represented by the scatter plot is
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(2, -3)
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)