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Rudik [331]
3 years ago
13

a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?​

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer: y-intercept = 2

<u>Step-by-step explanation:</u>

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

  • m = slope
  • b = y-intercept

x + 4y = 8

     4y = -x + 8

       y=-\dfrac{1}{4}x+\dfrac{8}{4}

       y=-\dfrac{1}{4}x+2

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept <em>because it does not relate to the question </em>, 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

\dfrac{1}{6}=m

Equation: y=\dfrac{1}{6}x+2

____ [38]3 years ago
7 0

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

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Slope Intercept form can someone please help me I am so confused
Andreyy89
You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.

but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:

"the venue will cost $1500 to rent for an evening"
"$25 per person"

so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.

$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"

with that information, write any other equation you would for a word problem:

y = 25x + 1500

that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.

and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.

y = 25x + 1500

when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)

when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)

when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)

i hope that helped!!
6 0
3 years ago
What is the value of this expression?
Minchanka [31]
The answer would be D.
7 0
2 years ago
Read 2 more answers
Blue is sus vote him out<br><br>#BlueIsImposter<br>or #Idiot
taurus [48]
Blue was not the imposter.
8 0
2 years ago
Hell help me out thank youuuuuu byeee
Crank

Answer:

if im right its number 4!! if its not right sorry i did the math and thats what i got!!

4 0
3 years ago
Audrey Lorenz assembles gift baskets for a florist. The owner pays her $0.45 per small basket and $0.75 per large basket on Tues
Gemiola [76]

Answer:

Step-by-step explanation:

(.45)(288)= $129.60

(.75)(72)= $54

$129.60 + 54 = $184.60 is Audrey's pay

3 0
3 years ago
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