Question

1.tentukanlah gradien dari persamaan garis berikut
a. y=2x
b. y=3x
c. x=2y
d. 2x+3y=0
e. 4x-6y= 0
2.tentukanlah gradien dari persamaan garis berikut
a.y=4x+6
b.y=-5x-8
c.2y=x+12
d.3y=6+9x
e.2+4y=3x+5
3.tentukanlah gradien dari persamaan garis berikut
a.x+2y+6=0
b.2x-3y-8=0
c.x+y-10=0
d.4x+5y=9
e.2y-6x+1=0

Answer 1

Verified answer

Gradien garis dengan pers ax + by + c = 0 atau ax + by = c adalah
m = -a/b

gradien garis dengan pers. y = ax + c adalah
m = a
=============================================
No.1
a. y = 2x
gradien = 2

b. y = 3x
gradien = 3

c. x = 2y
    x/2 = y
gradien = 1/2

d. 2x + 3y = 0
gradien = -2/3

e. 4x - 6y = 0 
gradien = -4/-6 = 2/3

No.2
a.y = 4x + 6
gradien = 4

b.y = -5x - 8
gradien = -5

c.2y = x + 12
    y = x/2 + 6
gradien = 1/2

d.3y = 6 + 9x
  9x - 3y + 6 = 0
gradien = -9/-3 = 3


e.2 + 4y = 3x + 5
3x - 4y + 5 - 2 = 0
3x - 4y + 3 = 0
gradien = -3/-4 = 3/4

No.3
a.x+2y+6=0
gradien = = -1/2

b.2x-3y-8=0
gradien = = -2/-3 = 2/3

c.x+y-10=0
gradien = -1/1 = -1

d.4x+5y=9
gradien = -4/5

e.2y-6x+1=0
gradien = -(-6)/2 = 3

Answer 2

Verified answer

Jawabannya :
1)........ rumus (m = -a/b)

a) y = 2x
gradien = -2
b) y = 3x
gradien = -3
c) x = 2y
gradien = -1/2
d) 2x+3y = 0
gradien = -2/3
e) 4x-6y = 0
gradien = -4/6 atau -2/3

2)...... rumus (m = -a/b)

a) y = 4x+6
gradien = -4
b) y = -5x-8
gradien = 5/1 atau 5
c) 2y = x+12
gradien = -1/2
d) 3y = 6+9x
gradien = -9/3 atau -3
e) 2+4y = 3x+5
gradien = -3/4

3)........

a) x+2y+6 = 0
gradien = -1/2
b) 2x-3y-8 = 0
gradien = -(-2/3) jadi 2/3
c) x+y-10 = 0
gradien = -1
d) 4x+5y = 9
gradien = -4/5
e) 2y-6x+1 = 0
gradien = -(-6/2) jadi 3/1 atau 3

semoga membantu.... .