What is the slope of the line with points (-3, 2) and (-3, -2)?

No slope.

Step-by-step explanation:

We want to find the slope of the line with the points (-3, 2) and (-3, -2).

To find the slope of any line, we can use the slope formula:

We can let (-3, 2) be (x₁, y₁) and (-3, -2) be (x₂, y₂). Substitute:

Evaluate:

Anything divided by zero is undefined.

Therefore, the slope does not exist. The line has no slope.

If you plot the two points and graph the line, you can see that it is a vertical line. If you recall, vertical lines have no slopes.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.