Mathematics, 16.10.2019 13:30 fatherbamboo

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using the given equation find the missing coordinates of the points and then find the slope of the line for each equation:

1) 7x−5y=12
a ; 9), b (4;
the slope is

2) y=−3/7x+3
; 6), b(9;
the slope is

3) y=0.3x+1
; 9), b(5;
the slope is

4) 6.3x+9y=2
; 1/3), b(2/3;
the slope is

5) y−5x=8
; 7), b(8;
the slope is

Answers: 2

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Answers

Answer from: mama9297

Part 1) A(57/7,9),B(4,16/5), m=7/5

Part 2) A(-7,6),B(9,-6/7), m=-3/7

Part 3) A(80/3,9),B(5,2.5), m=0.3

Part 4) A(-10/63,1/3),B(2/3,-22/90), m=-0.7

Part 5) A(-1/5,7),B(8,48), m=5

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

7x-5y=12

step 1

Find the slope

7x-5y=12

isolate the variable y

y=(7/5)x-(12/5)

the slope is m=(7/5)

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

9=(7/5)x-(12/5)

(7/5)x=9+(12/5)

(7/5)x=(57/5)

x=(57/7)

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=(7/5)(4)-(12/5)

y=(28/5)-(12/5)

y=(16/5)

Part 2) we have

y=-(3/7)x+3

step 1

Find the slope

the slope is m=-(3/7)

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

6=-(3/7)x+3

(3/7)x=3-6

(3/7)x=-3

x=-7

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=-(3/7)(9)+3

y=-(27/7)+3

y=-(6/7)

Part 3) we have

y=0.3x+1

step 1

Find the slope

the slope is m=0.3

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

9=0.3x+1

0.3x=9-1

0.3x=8

x=80/3

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=0.3(5)+1

y=2.5

Part 4) we have

6.3x+9y=2

step 1

Find the slope

6.3x+9y=2

isolate the variable y

y=-(0.7)x+(2/9)

the slope is m=-0.7

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

(1/3)=-(0.7)x+(2/9)

(0.7)x=(2/9)-(1/3)

(0.7)x=-(1/9)

x=-(10/63)

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=-(0.7)(2/3)+(2/9)

y=-(14/30)+(2/9)

y=-(22/90)

Part 5) we have

y-5x=8

step 1

Find the slope

y-5x=8 -------> y=5x+8

the slope is m=5

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

7=5x+8

5x=7-8

x=-1/5

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=5(8)+8

y=48

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