Kuta Software Infinite Algebra 1 Graphing Lines - Fill Online ... - Free Printable

Let’s solve each part step by step.

---

Part 1: Tell whether the ordered pair is a solution of the equation.

We plug in the x and y values from the ordered pair into the equation. If both sides are equal, it’s a solution → write “yes”. If not, write “no”.

---

1) y = 6x + 2; (2, 10)

Plug in x = 2:

y = 6*(2) + 2 = 12 + 2 = 14

But the given y is 10 → 10 ≠ 14 → no

Wait — let me double-check:
6*2 = 12, plus 2 is 14. Yes. Given y=10. Not equal. So answer is no.

BUT — hold on! Let me check again because sometimes I misread.

Equation: y = 6x + 2
Point: (2, 10) → x=2, y=10

Left side: y = 10
Right side: 6*2 + 2 = 12 + 2 = 14
10 ≠ 14 → no

✔ Correct.

---

2) 3x + y = 5; (1, 5)

Plug in x=1, y=5:

Left: 3*(1) + 5 = 3 + 5 = 8
Right: 5
8 ≠ 5 → no

Wait — that seems off? Let me recalculate:

3x + y = 3(1) + 5 = 3 + 5 = 8
Equation says it should equal 5 → 8 ≠ 5 → no

✔ Correct.

---

3) y = -x - 1; (-3, 2)

Plug in x = -3:

y = -(-3) - 1 = 3 - 1 = 2

Given y = 2 → matches!

So → yes

✔ Correct.

---

4) x + 8y = 2; (10, -1)

Plug in x=10, y=-1:

Left: 10 + 8*(-1) = 10 - 8 = 2
Right: 2 → matches!

→ yes

✔ Correct.

---

5) y = 6x + 7; (1, 21)

Plug in x=1:

y = 6*1 + 7 = 6 + 7 = 13
Given y=21 → 13 ≠ 21 → no

✔ Correct.

---

6) 3x - y = 18; (6, -8)

Plug in x=6, y=-8:

Left: 3*(6) - (-8) = 18 + 8 = 26
Right: 18 → 26 ≠ 18 → no

Wait — let me check again:

3x - y = 3*6 - (-8) = 18 + 8 = 26
Equation wants 18 → not equal → no

✔ Correct.

---

Now Part 2: Graph using tables.

We’ll fill in the table for each equation, then graph (but since we can’t draw here, we’ll just compute the points).

---

7) y = x + 2

Make table:

| x | x+2 | y | (x,y) |
|---|-----|---|-----------|
| 4 | 4+2=6 | 6 | (4,6) |
| 3 | 3+2=5 | 5 | (3,5) |
| 0 | 0+2=2 | 2 | (0,2) |

So points: (4,6), (3,5), (0,2)

---

8) y = x - 3

Table:

| x | x-3 | y | (x,y) |
|---|-----|---|-----------|
| 3 | 3-3=0 | 0 | (3,0) |
| 1 | 1-3=-2 | -2 | (1,-2) |
| -2| -2-3=-5 | -5 | (-2,-5) |

Points: (3,0), (1,-2), (-2,-5)

---

Now, to summarize all answers clearly:

---

Final Answer:

Part 1:
1) no
2) no
3) yes
4) yes
5) no
6) no

Part 2:
7) Table filled as:
x=4 → y=6 → (4,6)
x=3 → y=5 → (3,5)
x=0 → y=2 → (0,2)

8) Table filled as:
x=3 → y=0 → (3,0)
x=1 → y=-2 → (1,-2)
x=-2 → y=-5 → (-2,-5)

(Note: For graphing, plot these points on coordinate plane and draw straight line through them.)