Question

x: 2 4 6 9 11
y: 23 5 13 25 33

1. Explain why the data can be modeled by a linear equation.

2. Write an equation in point-slope form that relates y to x

Answer 1

Not sure about 1 ( a bit tired atm)
but i'll help with #2

Take the slope of two pairs of coordinates, let's use

(2,23) and (4,5)
calculate the slope
and enter the coordinates of (x1,y1)-->(2,23) and m -->slope
into
y - y1 = m(x-x1)
to get point-slope form

Answer 2

Ok and is the slope -9?

Answer 3

5-23/4-2 = -18/2 = -9
yes correct!

Answer 4

Thank you random math genius!