Question

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

Answer 1

Answer:

x − intercept is ( 4 ,0  ).

y − intercept is ( 0 ,2 )

mark me brainliest, cuz the other one was wrong lol xD

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)