Respuesta :

fieryanswererft

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:  [tex]\sf \dfrac{y-y_1}{x-x_1}[/tex]  

  • [tex]\sf \dfrac{1-5}{-1-1}[/tex]  
  • 2

equation:

  • y - y₁ = m(x - x₁)
  • y - 5 = 2(x - 1)
  • y - 5 = 2x - 2
  • y = 2x - 2 + 5
  • y = 2x + 3
semsee45

Answer:

y = -4x + 4

y = 2x + 3

Step-by-step explanation:

Question 1

Slope-point form of linear function: [tex]y-y_1=m(x-x_1)[/tex]

where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] 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: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

let [tex](x_1,y_1)[/tex] = (1, 5)

let [tex](x_2,y_2)[/tex] = (-1, 1)

[tex]\implies m=\dfrac{1-5}{-1-1}=2[/tex]

Now use point-slope form of linear function:

   y - 5 = 2(x - 1)

⇒ y - 5 = 2x - 2

⇒ y = 2x + 3

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