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59 points on this! Pls answer

59 points on this! Pls answer-example-1

2 Answers

9 votes

Answer:

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

User Zurb
by
7.8k points
3 votes

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 (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
User Op Ol
by
8.4k points

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