Question

Use the table to answer the following question.

ху
-910
1-3121
3 132
9 143
Write an equation for this table in slope-intercept form.

Answer 1

y =
`(11)/(6)x+(53)/(2)`

Explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Slope of the line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is represented by,

m =
`(y_2-y_1)/(x_2-x_1)`

If two points given in the bale are (-9, 10) and (3, 32),

Slope 'm' =
`(32-10)/(3-(-9))`

=
`(22)/(12)`

=
`(11)/(6)`

Therefore, equation of the line passing through (3, 32) and slope =
`(11)/(6)` will be,

y - 32 =
`(11)/(6)(x - 3)`

y =
`(11)/(6)x-(11)/(2)+32`

y =
`(11)/(6)x+(53)/(2)`