Answer:
The graph contains the point (5, 12) does NOT correctly describe the graph of y = 5x + 12
Solution:
Given, linear equation in two variable is y = 5x + 12.
We have to select the option that incorrectly describes about given equation.
Now, we have to check one by one option.
a) The line has a constant rate of change.
As the given line is an linear equation it will have constant slope. So this option states correctly
b) The line crosses the y-axis 12 units above the origin
When a line crosses y – axis it x value becomes 0 → y = 5(0) + 12 → y = 12
So, the line crosses the y – axis 12 units above the origin, so this option states correctly.
c) The graph contains the point (5, 12)
To contain (5, 12) in that line → 12 - 5(5) + 12 = 0 but -1 ≠ 0
So, this option is incorrect.
Hence, option c incorrectly describes about the graph.