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

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