Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of one half.

a.
y − 6 = one half (x + 3)

b.
y = one half x − 6

c.
y + 3 = one half (x − 6)

d.
x − 2y = 12

The point slope form of the equation that passes through the point (6, -3) and has a slope of one half is y + 3 = one half (x − 6)  Thus Option C is correct

Solution:

Given that the line passes through the point (6, -3) and has a slope of one half

We have to find the point slope form of the line

The point slope form is given as

Where "m" is the slope of the line

Here in the given question,

Substituting the values we get,

Thus option C is correct

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