Question

I need help. It's 1am and I have to wake up in 4 hours, and I really don't understand this. Can anyone solve the problems or elaborate on how to do them? Anything helps. (2-28) even numbers only

Answer 1

Answer:

Step-by-step explanation:

2) 3x + 5y = 15

divide by 15;

3x/15 + 5y/15 = 15/15

x/5 + y/3 = 1

x-intercept= 5

y-intercept= 3

6) 3x -y = 14

        -y = - 3x + 14

divide by (-) ;  y = 3x -14    { y = mx +c}

slope= 3 & y-intercept= -14

7)2x - 8y =32

          -8y = -2x +32

    divide by (-8)

-8y/-8 = -2x/-8  + 32/(-8)

      y = x/4 - 4

slope = 1/4 ; y-intercept = -4

11) (0,3) ;(2, -5)

m = y₂ - y₁ / x₂ - x₁

m = -5 - 3 /  2-0

   = -8/2

m = -4

Equation:

y - y₁ = m (x- x₁)  

m = -4 ;(0,3)     { you can take any of this two point}

  y - 3  = -4 (x - 0)

  y - 3 = -4x

         y = -4x + 3

slope = -4 ;Y-intercept = 3

14) 5x = 15 + 3y

 5x - 3y = 15

 5x/15 - 3y/15 = 15/15    {divide by 15}

   x/3 + y/ -5  = 1

x-intercept = 3

y-intercept = -5

18) 5y + 3x = 10

            5y = -3x + 10

           5y /5 = -3x/5 + 10/5   {divide by 5}

              y = -3x/5 + 2

slope= -3/5 ; y-intercept = 2

24) (-5,-4)  ;  (15,0)

m = y₂ - y₁ / x₂ - x₁

   = 0 - (-4) / 15 - (-5) = 4/15+5 = 4/20

m = 1/5

Equation:

y - y₁ = m (x- x₁)  

m = 1/5 ;(15,0)     { you can take any of this two point}

  y - 0 = 1/5 (x - 15)

        y = 1/5x - 15/5

         y = 1/5x - 3

slope = 1/5 ;  y intercept = -3

Answer 2

Answer:to find the y intercept plug in 0 for x.

Step-by-step explanation:

1. x-y=4

0-y=4

y= -4

intercept written as (0,-4)