write an equation for the table

X=-1,0,1,2,3 and Y=6,4.5,3,1.5,0

Question

write an equation for the table

X=-1,0,1,2,3 and Y=6,4.5,3,1.5,0

anonymous · Answer

Use the equation $$y_{1}-y_{2} / x_{1}-x_{2} $$ to find the slope of the line, m. Plug in any two y-values and any the two corresponding x-values and you should get -1.5/1, or -1.5 for the slope, or rise over run. This means that as the line rises 1.5 units, it runs (moves across the plane) 1 unit.

anonymous · Answer

Now use the point-slope equation$$y-y_{1}=m(x-x_{1})$$ to find your line. Plug in your slope value of m, -1.5, and any coordinate as y1 and x1. Solve from there and you should get y=-1.5x+4.5. There you have your equation. 
Notice that since one of your points was already your y-intercept, (0,4.5), and you could have just used that y and stuck it at the end without doing the last bit of work.

anonymous · Answer

Hope this helps!

anonymous · Answer

Thank you!