Solution:

To find the equation of a straight line, we need to know two things: the slope of the line and a point on the line.

Given point: (3, 2)

Finding the slope:

We don't have enough information to find the slope of the line directly. However, we can use the fact that the line passes through the given point and assume that it has a certain slope. Let's say we assume that the slope of the line is m.

Using point-slope form:

Using the point-slope form of the equation of a line, we can write:

y - y1 = m(x - x1)

Substituting the given point:

y - 2 = m(x - 3)

Rearranging:

y = mx - 3m + 2

This is the equation of the line in slope-intercept form.

To find the value of m, we need one more piece of information.

Using another point:

We can use any other point on the line to find the value of m. Let's say we use the point (0, 5).

Substituting:

5 = m(0) - 3m + 2

Simplifying:

3m = -3

m = -1

Substituting m = -1 in the equation of the line:

y = -x + 5

This is the equation of the line in slope-intercept form.

Converting to standard form:

To convert the equation of the line from slope-intercept form to standard form, we need to rearrange it so that it has the form Ax + By = C.

y = -x + 5

Adding x to both sides:

x + y = 5

This is the equation of the line in standard form.

Final Answer:

The equation of the straight line passing through the point (3,2) is x + y = 5. Therefore, the correct option is (c).