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guajiro [1.7K]
2 years ago
7

Consider the line y=4x-4.

Mathematics
1 answer:
erica [24]2 years ago
4 0

9514 1404 393

Answer:

  • parallel: y = 4x -6
  • perpendicular: y = -1/4x +27/4

Step-by-step explanation:

If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...

  y = mx +b . . . . . . . for slope m and y-intercept b

Solving for b gives ...

  b = y -mx . . . . . . . subtract mx from both sides.

The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.

<u>Parallel line</u>

  b = 6 -4(3) = 6 -12 = -6

  y = 4x -6

Perpendicular line

  b = 6 -(-1/4)(3) = 6 +3/4 = 27/4

  y = -1/4x +27/4

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Solve 4a = 20
olya-2409 [2.1K]

Here's the solutions :

1. solve for a :

  • 4a = 20

  • a =  \dfrac{20}{4}

  • a = 5

2. solve for y :

  • 3y + 9 = 24

  • 3y = 24 - 9

  • 3y = 15

  • y =  \dfrac{15}{3}

  • y = 5

3. solve for y :

  • \dfrac{y}{3}  - 5 = 4

  • \dfrac{y}{3}  = 5 + 4

  • \dfrac{y}{3}  = 9

  • y = 9 \times 3

  • y = 27

4. solve for k :

  • 3 = 9 -  4k

  • 3 - 9 =  -4 k

  • - 6 =  - 4 k

  • k =  \dfrac{ - 6}{ - 4}

  • k =  \dfrac{3}{2}  \:  \:  \: or \:  \: 1.5

5. there's something wrong with this question.

6. solve for x :

  • 3x + 8 = 2

  • 3x = 2 - 8

  • 3x =  - 6

  • x =  \dfrac{ - 6}{3}

  • x =  - 2

i hope it helped...

6 0
2 years ago
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Which graph could represent the amount of green beans when selling at a unit rate of G dollars per pound?
hammer [34]

Answer:

  see attached

Step-by-step explanation:

The function that tells you the number of dollars you spend on a given number of pounds creates graphs with the coordinates (pounds, dollars).

If you want 1 pound to correspond to G dollars, then a point on the graph will be ...

  (1, G)

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Line m passes through the points (5, 1) and (8, 6) while line n passes through the points (-4, 3) and (-1, 8). Which statement a
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Find the equations of the lines...

First find the slope...(y2-y1)/(x2-x1)=m

m=(6-1)/(8-5)=5/3 and it passes through (5,1) so

y=mx+b becomes:

y=5x/3+b and using (5,1)

1=5(5)/3+b

1=25/3+b

3/3-25/3=b

b=-22/3 so 

y1=(5x-22)/3

.... now y2...

m=(8-3)/(-1--4)=5/3 (note it has the same slope as y1...

y=5x/3+b and using the point (-1,8)

8=5(-1)/3+b

8=-5/3+b

24/3+5/3=b

b=29/3, now note that the y-intercept is different...

y2=(5x+29)/3

Since these lines have the same slope but different y-intercepts, they are parallel to each other. (and will never intersect.)
8 0
3 years ago
ONLY NUMBER 1 please help
yan [13]

Answer:

Just to be on the safe side the first #1 is 31.5 and the second #1 is 57.82

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3 years ago
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