Question

write an equation for the table

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

Answer 1

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.

Answer 2

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.

Answer 3

Hope this helps!

Answer 4

Thank you!