Equation 1: y = 2x + 3
When x = 1, y = 2(1) + 3 = 5
When x = -2, y = 2(-2) + 3 = -1
When x = 4, y = 2(4) + 3 = 11
Equation 2: y = -3x + 2
When x = 1, y = -3(1) + 2 = -1
When x = -2, y = -3(-2) + 2 = 8
When x = 4, y = -3(4) + 2 = -10
By comparing the y-values for the same x-values in both equations, we notice that the y-values are different for each equation at the same x-value. This shows that the two equations represent two different lines with different slopes and y-intercepts.
Pick three random x-values and find the corresponding y-value for each of the two equations you graphed above. What
do you notice?
1 answer