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) [tex]y=3x+6[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]y=3*0+6[/tex]
[tex]y=6[/tex]
The y-intercept is the point (0,6)
Find the x-intercept
for y=0 ------> find the value of x
[tex]0=3x+6[/tex]
[tex]3x=-6[/tex]
[tex]x=-2[/tex]
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) [tex]y=x+1[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]y=0+1[/tex]
[tex]y=1[/tex]
The y-intercept is the point (0,1)
Find the x-intercept
for y=0 ------> find the value of x
[tex]0=x+1[/tex]
[tex]x=-1[/tex]
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) [tex]x+y=6[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]0+y=6[/tex]
[tex]y=6[/tex]
The y-intercept is the point (0,6)
Find the x-intercept
for y=0 ------> find the value of x
[tex]x+0=6[/tex]
[tex]x=6[/tex]
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) [tex]0.8x+1.6y=2.4[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]0.8*0+1.6y=2.4[/tex]
[tex]y=1.5[/tex]
The y-intercept is the point (0,1.5)
Find the x-intercept
for y=0 ------> find the value of x
[tex]0.8x+1.6*0=2.4[/tex]
[tex]x=3[/tex]
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) [tex]y=6x[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]y=6*0[/tex]
[tex]y=0[/tex]
The y-intercept is the point (0,0)
Find the x-intercept
for y=0 ------> find the value of x
[tex]y=6x[/tex]
[tex]0=6x[/tex]
[tex]x=0[/tex]
The x-intercept is the point (0,0)
therefore
the answer case 5) is
The ordered pair is (0,0)
case 6) [tex]4x-2y=0[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]4*0-2y=0[/tex]
[tex]y=0[/tex]
The y-intercept is the point (0,0)
Find the x-intercept
for y=0 ------> find the value of x
[tex]4x-2*0=0[/tex]
[tex]x=0[/tex]
The x-intercept is the point (0,0)
therefore
the answer case 6) is
The ordered pair is (0,0)
case 7) [tex]3x+6y-12=0[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]3*0+6y-12=0[/tex]
[tex]y=2[/tex]
The y-intercept is the point (0,2)
Find the x-intercept
for y=0 ------> find the value of x
[tex]3x+6*0-12=0[/tex]
[tex]x=4[/tex]
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) [tex]y=(1/3)x-(2/3)[/tex]
Find the y-intercept
for x=0 ------> find the value of y
[tex]y=(1/3)*0-(2/3)[/tex]
[tex]y=-2/3[/tex]
The y-intercept is the point (0,-2/3)
Find the x-intercept
for y=0 ------> find the value of x
[tex]0=(1/3)x-(2/3)[/tex]
[tex]x=2[/tex]
The x-intercept is the point (2,0)
therefore
the answer case 8) is
The ordered pair is (0,-2/3) and (2,0)
Answer:
8
Step-by-step explanation:
in other words the answer is 8
