Respuesta :

ronhagrid310

Answer:

The y-intercept b = 9/2

Step-by-step explanation:

A line has equation  x + 4y = 8  or y = (-1/4)x + 2

=> The slope of this line is -1/4

Another line y = ax + b has the slope a = -1/4 and passes (6, 3)

=> 3 = (-1/4)*6 + b

=> 3 = -3/2 + b

=> b = 9/2

=> The y-intercept b = 9/2

tramserran

Answer: y-intercept = 2

Step-by-step explanation:

Slope-Intercept form of an equation is:  y = mx + b   where

  • m = slope
  • b = y-intercept

x + 4y = 8

     4y = -x + 8

       [tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+2[/tex]

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.

y = mx + b

3 = m(6) + 2

1 = 6m

[tex]\dfrac{1}{6}=m[/tex]

Equation: [tex]y=\dfrac{1}{6}x+2[/tex]

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