Question

59 points on this! Pls answer

Answer 1

y = -4x + 4

y = 2x + 3

Explanation:

Question 1

Slope-point form of linear function:
`y-y_1=m(x-x_1)`

where
`m` is the slope and
`(x_1, y_1)` is a point on the line.

y - -4 = -4(x - 2)

⇒ y + 4 = -4x + 8

⇒ y = -4x + 4

Question 2

First find the slope using slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

let
`(x_1,y_1)` = (1, 5)

let
`(x_2,y_2)` = (-1, 1)

`\implies m=(1-5)/(-1-1)=2`

Now use point-slope form of linear function:

y - 5 = 2(x - 1)

⇒ y - 5 = 2x - 2

⇒ y = 2x + 3

Answer 2

(a) y = -4x + 4 (b) y = 2x + 3

solving steps:

note: m refers to slope and y₁ to y point and x₁ to x point

a)

coordinates: (2,-4)

slope: -4

equation:

• y - y₁ = m(x - x₁)

• y - -4 = -4(x-2)

• y = -4x + 8 - 4

• y = - 4x + 4

b)

coordinates: (1,5), (-1,1)

slope:
`\sf (y-y_1)/(x-x_1)`

• 
  `\sf (1-5)/(-1-1)`

• 2

equation:

• y - y₁ = m(x - x₁)

• y - 5 = 2(x - 1)

• y - 5 = 2x - 2

• y = 2x - 2 + 5

• y = 2x + 3