Question

Which answer does NOT correctly describe the graph of y = 5x + 12?

a. the line has a constant rate of change
b. the line crosses the y-axis 12 units above the origin
c. the graph contains the point (5,12)
d.the slolpe of the line can be written as 5/1

Answer 1

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.