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nasty-shy [4]
3 years ago
6

What is the answer to this question?

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0
I hope this helps you

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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

y=-\frac{3}{4}x+4

or

3x+4y=16

8 0
3 years ago
Solving two-step equations 5x+8=23
andrey2020 [161]
You have to subtract 8 from the left and then 8 from the right. If you do that then you'll have 5x=15. 
Then you divide "x" by 5 and 15 by 5.
X=3
7 0
3 years ago
Read 2 more answers
What is six less than seven times a number is equal to -20​
Naya [18.7K]

Answer:

7n-6=-20

Step-by-step explanation:

six less than seven times a number

we'll use n as "the number"

six less meaning -6

7 times a number n = 7n

7n-6=-20

7 0
3 years ago
16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4
IrinaK [193]

Answer:

2

Step-by-step explanation:

d.

16x-3= -48

5x-3= -15

-7x-3= 21

=-42

c.

20x4= 80

-8x4= -32

= 48

-7+3= -4

3 0
3 years ago
Please help picture shown !!!!
never [62]
Right... soo wouldnt the a: be E??
7 0
3 years ago
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