Write the power set of the set A={a,b,c}

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Given:

A line passes through the points (-3,3) and (3,5).

To find:

The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.

Solution:

It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:

The point slope form of a line is:

Where, m is the slope.

The point slope form of the given line is:

The point slope form of the given line is .

We need to rewrite this equation in slope intercept form, i.e.,  , where m is slope and b is y-intercept.

The above equation can be rewritten as:

Therefore, the slope intercept form of the given line is .