Question

Anybody know these answers I got number one already.

Answer 1

2. The rate of change in the table is -6

3. The slope of the line is
`(3)/(2)` ⇒ d

Explanation:

Let us start with no. 2

∵ The rate of change is the constant ration between x and y

∴ The rate of change is the slope of the line represents the table

• The rule of the slope is
  `m=(y2-y1)/(x2-x1)` , (x1, y1) and (x2, y2) are two points on the line

∵ (1, -3) and (2, -9) are two points on the line

∴ x1 = 1 and y1 = -3

∴ x2 = 2 and y2 = -9

→ Substitute them in the rule of the slope above

∴
`m=(-9-(-3))/(2-1)=(-9+3)/(1)=(-6)/(1)`

∴ m = -6

∴ The rate of change in the table is -6

Let us solve no.3

∵ The rule of the slope is
`m=(y2-y1)/(x2-x1)` , (x1, y1) and (x2, y2) are two points

on the line

→ Choose from the graph any two points on the line

∵ (0, 0) and (4, 6) are two points on the line

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above

∴
`m=(6-0))/(4-0)=(6)/(4)=(3)/(2)`

∴ m =
`(3)/(2)`

∴ The slope of the line is
`(3)/(2)`