Which of the following equations corresponds to the function represented in the graph?
Let's use the below formula in order to find the slope:
m=x2āāx1āy2āāy1āā
We begin by inserting the known data from the graph into the formula:
(0,ā2),(ā2,0)
m=0ā(ā2)ā2ā0ā=
0+2ā2ā=
2ā2ā=ā1
We then substitute the point and slope into the line equation:
y=mx+b
0=ā1Ć(ā2)+b
0=2+b
Lastly we combine the like terms:
0+(ā2)=b
ā2=b
Therefore, the equation will be:
y=āxā2
y=āxā2