Mathematics, 10.07.2019 22:30 Chandler1Gaming

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

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Answer from: linnybear300

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

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)

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