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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

User Nemus
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1 Answer

1 vote

Answer:

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


y - y_1 = m(x - x_1)

Where "m" is the slope of the line

Here in the given question,
m = (1)/(2) ; x_1 = 6 ; y_1 = -3

Substituting the values we get,


y - (-3) = (1)/(2) (x - 6)


y + 3 = (1)/(2) (x - 6)

Thus option C is correct

User Saleem Latif
by
7.8k points

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