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

Explanation:

1. x-y=4

0-y=4

y= -4

intercept written as (0,-4)

Answer 2

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