Answer: [tex]\large \boldsymbol {} \displaystyle y=-5x-7 \ \ or \ \ f(x)=-5x-7[/tex]
Step-by-step explanation:
- Having built a graph, we can immediately understand that this is a linear function
- y=kx+b
- Having built a graph, we can immediately understand that this is a linear function
- y=kx+b
- In order to determine which rule the function follows, it is only enough for us to know the coordinates of only two points, let them be points (-3 ; 8 ) and (-2 ; 3 )
- Substitute the values of x and y into an unknown function y=kx+b
- [tex]\displaystyle \large \boldsymbol {} \left \{ {{-3k+b=8} \atop {-2k+b=3 }} \right.=> -k=5=>k=-5 \ \ ; \ \ b=3+2k=-7[/tex]
- Then we get the function :
- [tex]\large \boldsymbol {} \displaystyle y=-5x-7[/tex]
- The graph in attached file
[tex]\large \boldsymbol{}[/tex]
