Question

59 points on this! Pls answer

Answer 1

Answer:

(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:  $\sf \dfrac{y-y_1}{x-x_1}$  

• $\sf \dfrac{1-5}{-1-1}$  

• 2

equation:

• y - y₁ = m(x - x₁)

• y - 5 = 2(x - 1)

• y - 5 = 2x - 2

• y = 2x - 2 + 5

• y = 2x + 3

Answer 2

Answer:

y = -4x + 4

y = 2x + 3

Step-by-step 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: $m=\dfrac{y_2-y_1}{x_2-x_1}$

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

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

$\implies m=\dfrac{1-5}{-1-1}=2$

Now use point-slope form of linear function:

   y - 5 = 2(x - 1)

⇒ y - 5 = 2x - 2

⇒ y = 2x + 3