Question

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

Answer 1

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, $m = \frac{1}{2} ; x_1 = 6 ; y_1 = -3$

Substituting the values we get,

$y - (-3) = \frac{1}{2} (x - 6)$

$y + 3 = \frac{1}{2} (x - 6)$

Thus option C is correct