Ecuaciones De Primer Grado

Ecuaciones de primer grado

A. Y= 1 x + 2

3

Y= 1 (0) + 2 3

Y= 1 (1) + 2 = 1 + 2 = 1 + 6 = 7 = 2,3 3

3

1

3

3

Y= 1 (2) + 2 = 2 + 2 = 2 + 6 = 8= 2,6 3

3

1

3

3

Y= 1 (3) + 2 = 3 + 2 = 3 + 6 = 9= 3 3

X Y

3

1 2.33

1

3

2 2.66

3

3 3

B.

Y= -5 x + 4 3

Y= -5 (-1) + 4 = 5.66 3

Y= -5 (-2) + 4 = 10 + 4 = 10 + 12 = 22 = 7.33 3

3

1

3

3

Y= -5 (-3) + 4 = 15 + 4 = 15 + 12 =27= 9 3

3

1

3

3

Y= -5 (-4) + 4 = 20+ 4 = 20 + 12 = 32= 10.6 3

3

X: -1

-2

1

3

-3 -4

Y:5.66 7.33 9

10.66

3

a)

{-6, -5}

M= y2 – y1 X2 – x1

x= -6

M= 4 - 1

m= 3

-5- (-6)

y= 1

m= 3 = 3

-5+6

1

x= -5

y=4

y=m x + b

y=m x + b

1= 3 (-6) + b

4= 3 (-5) +b

1= -18 +b

4= -15 +b

1+18 = b

4+15= b

19=b

19= b

2. {-5, -4} M= y2 – y1 X2 – x1

x= -5

y= 4

y=m x + b 4= -2 (-5) + b

M= 2-4

m= -2

-4- (-5)

m= -2 = -2

-4+5

x= -4

1

y=2

y=m x + b 2= -2 (-4) +b

4= 10 +b

2= 8+b

4-10= b

2-8= b

-6=b

-6= b

3. {-4, -2} M= y2 – y1 X2 – x1

x= -4

M= 5-3

m= 2

-2- (-4)

y= 3

m= 2 = 1

-2+4

2

x= -2

y=5

y=m x + b

y=m x + b

3= 1 (-4) + b

5= 1 (-2) +b

3= -4 +b

5= -2 +b

3+4 = b

5+2= b

7=b

7= b

4 . {-2, 1}

M= y2 – y1 X2 – x1

x= -2

y= 5

M= 5-5

m= 0

1- (-2)

m=0

3

x= 1

y=5

y=m x + b

y=m x + b

5= 0 (-2) + b

5= 0 (1) +b

5= 0 +b

5= 0 +b

5=b

5=b

5. {1, 3} M= y2 – y1 X2 – x1

M= 5-1

m= 4

1-3

x= 3 y= 1

m= -2

-2

x= 1

y=5

y=m x + b

y=m x + b

1= -2(3) + b

5= -2 (1) +b

1= -6+b

5= -2 +b

1+6= b

5+2= b

7=b

7= b

6. {3, 3}

M= y2 – y1 X2 – x1

x= 3 y= 1

M= 1-3

m= -2

3-3

0

x= 3

y=3

y=m x + b

y=m x + b

1= -∞(3) + b

3= -∞ (3) +b

1+∞=b

3= -∞+b

∞= b

3+∞= b

∞= b

m=

-∞

7. {3, 6} M= y2 – y1 X2 – x1

M= -3-1

m= -4

6-3

x= -3 y= 6

3

x= 3

y=1

y=m x + b

y=m x + b

-3= -4(6) + b

1= -4 (3) + b

3

3 1= -4 +b

-3= -8 +b

1+4=b

-3+8 = b

5= b

5=b

8. {6, 6}

M= y2 – y1 X2 – x1

M= 3-3 6-6

m= -6 0

m= -∞

x= 6

y= 3

y=m x + b 3= -∞ (6) + b 3= -∞+b

x= 6

y=-3

y=m x + b -3= -∞ (6) +b -3= -∞+b

3+∞= b

-3+ ∞

∞= b

∞= b

=b