Question

What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 1 −2 −5 −8

y= ___x + ___

Answer 1

You can graph it, and see from the graph; or you can do what we did before.
Take any 2 points
(1,1)(2, -2)
find the slope
plug in 1 of the points and the slope into y-y=m(x-x)
and solve for y.

Answer 2

\[\frac{ -2-1 }{ 2-1}=\frac{ -3 }{ 1 }=-3\]

Answer 3

that's the slope

Answer 4

alright good.

Answer 5

now, take any point
(1, 1)
y-1=-3(x-1)

Answer 6

You probably should verify that it is also the slope between other pairs of points.

Alternatively, demonstrating the arithmetic progression of the y-values might be a useful exercise.

Answer 7

3x - 2?

Answer 8

hm? what do u mean?

Answer 9

y-1=-3x+3

Answer 10

add 1 to both sides

Answer 11

3x + 4

Answer 12

-3*

Answer 13

\[\frac{ -5+8 }{ 3-4 }=\frac{ 3 }{ -1 }=-3\] @tkhunny
you are correct, y=-3x+4