Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the linear equations with their x- and y-intercepts. (-20/3, 0) and (0, 4) (3, 0) and (0, -21) (-15/3, 0) and (0, 4) (-7/3, 0) and (0, 7/3) (2, 0) and (0, -1) Equation Intercepts x − 2y = 2 arrowBoth -3x + 3y = 7 arrowBoth 7x − y = 21 arrowBoth 3x − 5y = -20 arrowBoth

Answer 1

Part 1) ----> (2,0) and (0,-1)

Part 2) ----> (-7/3,0) and (0,7/3)

Part 3) ----> (3,0) and (0,-21)

Part 4) ----> (-20/3,0) and (0,4)

Step-by-step explanation:

we know that

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

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

Part 1) we have

1) Find the x-intercept

For y=0

the x-intercept is (2,0)

2) Find the y-intercept

For x=0

the y-intercept is (0,-1)

Part 2) we have

1) Find the x-intercept

For y=0

the x-intercept is (-7/3,0)

2) Find the y-intercept

For x=0

the y-intercept is (0,7/3)

Part 3) we have

1) Find the x-intercept

For y=0

the x-intercept is (3,0)

2) Find the y-intercept

For x=0

the y-intercept is (0,-21)

Part 4) we have

1) Find the x-intercept

For y=0

the x-intercept is (-20/3,0)

2) Find the y-intercept

For x=0

the y-intercept is (0,4)

Explanation:

Answer 2

Part 1)
`x-2y=2` ----> (2,0) and (0,-1)

Part 2)
`-3x+3y=7` ----> (-7/3,0) and (0,7/3)

Part 3)
`7x-y=21` ----> (3,0) and (0,-21)

Part 4)
`3x-5y=-20` ----> (-20/3,0) and (0,4)

Explanation:

we know that

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

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

Part 1) we have

`x-2y=2`

1) Find the x-intercept

For y=0

`x-2(0)=2\\x=2`

the x-intercept is (2,0)

2) Find the y-intercept

For x=0

`0-2y=2\\y=-1`

the y-intercept is (0,-1)

Part 2) we have

`-3x+3y=7`

1) Find the x-intercept

For y=0

`-3x+3(0)=7\\x=-(7)/(3)`

the x-intercept is (-7/3,0)

2) Find the y-intercept

For x=0

`-3(0)+3y=7\\y=(7)/(3)`

the y-intercept is (0,7/3)

Part 3) we have

`7x-y=21`

1) Find the x-intercept

For y=0

`7x-(0)=21\\x=3`

the x-intercept is (3,0)

2) Find the y-intercept

For x=0

`7(0)-y=21\\y=-21`

the y-intercept is (0,-21)

Part 4) we have

`3x-5y=-20`

1) Find the x-intercept

For y=0

`3x-5(0)=-20\\x=-(20)/(3)`

the x-intercept is (-20/3,0)

2) Find the y-intercept

For x=0

`3(0)-5y=-20\\y=4`

the y-intercept is (0,4)