Question

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

1. y=3x+6
2. y=x+1
3. x+y=6
4. 0.8x+1.6y=2.4
5. y=6x
6. 4x−2y=0
7. 3x+6y−12=0
8. y= 1/3 x− 2/3

Answer 1

8

Explanation:

in other words the answer is 8

Answer 2

we know that

The x-intercept is the value of x when the value of y is equal to zero

and

The y-intercept is the value of y when the value of x is equal to zero

so

case 1)
`y=3x+6`

Find the y-intercept

for x=0 ------> find the value of y

`y=3*0+6`

`y=6`

The y-intercept is the point (0,6)

Find the x-intercept

for y=0 ------> find the value of x

`0=3x+6`

`3x=-6`

`x=-2`

The x-intercept is the point (-2,0)

therefore

the answer case 1) is

The ordered pairs are (0,6) and (-2,0)

case 2)
`y=x+1`

Find the y-intercept

for x=0 ------> find the value of y

`y=0+1`

`y=1`

The y-intercept is the point (0,1)

Find the x-intercept

for y=0 ------> find the value of x

`0=x+1`

`x=-1`

The x-intercept is the point (-1,0)

therefore

the answer case 2) is

The ordered pairs are (0,1) and (-1,0)

case 3)
`x+y=6`

Find the y-intercept

for x=0 ------> find the value of y

`0+y=6`

`y=6`

The y-intercept is the point (0,6)

Find the x-intercept

for y=0 ------> find the value of x

`x+0=6`

`x=6`

The x-intercept is the point (6,0)

therefore

the answer case 3) is

The ordered pairs are (0,6) and (6,0)

case 4)
`0.8x+1.6y=2.4`

Find the y-intercept

for x=0 ------> find the value of y

`0.8*0+1.6y=2.4`

`y=1.5`

The y-intercept is the point (0,1.5)

Find the x-intercept

for y=0 ------> find the value of x

`0.8x+1.6*0=2.4`

`x=3`

The x-intercept is the point (3,0)

therefore

the answer case 4) is

The ordered pairs are (0,1.5) and (3,0)

case 5)
`y=6x`

Find the y-intercept

for x=0 ------> find the value of y

`y=6*0`

`y=0`

The y-intercept is the point (0,0)

Find the x-intercept

for y=0 ------> find the value of x

`y=6x`

`0=6x`

`x=0`

The x-intercept is the point (0,0)

therefore

the answer case 5) is

The ordered pair is (0,0)

case 6)
`4x-2y=0`

Find the y-intercept

for x=0 ------> find the value of y

`4*0-2y=0`

`y=0`

The y-intercept is the point (0,0)

Find the x-intercept

for y=0 ------> find the value of x

`4x-2*0=0`

`x=0`

The x-intercept is the point (0,0)

therefore

the answer case 6) is

The ordered pair is (0,0)

case 7)
`3x+6y-12=0`

Find the y-intercept

for x=0 ------> find the value of y

`3*0+6y-12=0`

`y=2`

The y-intercept is the point (0,2)

Find the x-intercept

for y=0 ------> find the value of x

`3x+6*0-12=0`

`x=4`

The x-intercept is the point (4,0)

therefore

the answer case 7) is

The ordered pair is (0,2) and (4,0)

case 8)
`y=(1/3)x-(2/3)`

Find the y-intercept

for x=0 ------> find the value of y

`y=(1/3)*0-(2/3)`

`y=-2/3`

The y-intercept is the point (0,-2/3)

Find the x-intercept

for y=0 ------> find the value of x

`0=(1/3)x-(2/3)`

`x=2`

The x-intercept is the point (2,0)

therefore

the answer case 8) is

The ordered pair is (0,-2/3) and (2,0)