Question

Pick three random x-values and find the corresponding y-value for each of the two equations you graphed above. What

do you notice?Equation 1: y = 5x - 4 Equation 2: y =
5x + 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's pick x-values of 1, 2, and 3.

For Equation 1:
1. When x = 1: y = 5(1) - 4 = 5 - 4 = 1
2. When x = 2: y = 5(2) - 4 = 10 - 4 = 6
3. When x = 3: y = 5(3) - 4 = 15 - 4 = 11

For Equation 2:
1. When x = 1: y = 5(1) + 2 = 5 + 2 = 7
2. When x = 2: y = 5(2) + 2 = 10 + 2 = 12
3. When x = 3: y = 5(3) + 2 = 15 + 2 = 17

By comparing the y-values calculated for each equation with the same x-values, we can see that the slopes are the same for both equations (5 in this case). However, the y-intercepts are different, leading to parallel lines on the graph.