Question

Capture all of the lines by entering ordered pairs for points on the lines. Use no more than three zaps.

Zap1:y=−2.5x+18
Zap2:y=8
Zap3:y=−x−3
Zap4:y=1.5x−8
a) (4,8),(1,15),(6,−5)
b) (−6,3),(0,8),(4,−11)
c) (2,13),(5,8),(−1,−2)
d) (3,10),(−2,8),(7,−2)

Answer 1

To capture all of the lines represented by the zaps, we need to find the ordered pairs that satisfy each equation. The ordered pairs are (4, 8), (x, 8), (1, -4), and (3, -1.5).

Step-by-step explanation:

To capture all of the lines, we need to find the ordered pairs that satisfy each equation. Let's go through each zap:

Zap1: y = -2.5x + 18

Zap2: y = 8

Zap3: y = -x - 3

Zap4: y = 1.5x - 8

1. For Zap1, we can plug in different x-values and calculate the corresponding y-values. For example, when x = 4, y = -2.5(4) + 18 = 8. So, one ordered pair is (4, 8).
2. For Zap2, the equation is y = 8. This means that no matter what x-value we use, y will always be 8. So, the ordered pairs for Zap2 are (x, 8).
3. For Zap3, we can plug in different x-values and calculate the corresponding y-values. For example, when x = 1, y = -(1) - 3 = -4. So, one ordered pair is (1, -4).
4. For Zap4, we can plug in different x-values and calculate the corresponding y-values. For example, when x = 3, y = 1.5(3) - 8 = -1.5. So, one ordered pair is (3, -1.5).

Putting it all together, the ordered pairs for the zaps are (4, 8), (x, 8), (1, -4), and (3, -1.5).