Question

Which equation shows how (-10, 8) can be used to write the

equation of this line in point-slope form?
oy-8 = -0.15(x - 10)
y + 8 = -0.15(x - 10)
oy-8= -0.2(x + 10)
y + 8 = -0.2(x - 10)

Answer 1

For this case we have that by definition, the equation of a line in the point-slope form is given by:

`y-y_ {0} = m (x-x_ {0})`

Where:

m: It is the slope of the line

`(x_ {0}, y_ {0})`: It is a point that belongs to the line

According to the statement we have the following point:

`(x_ {0}, y_ {0}): (- 10,8)`

Substituting we have:

`y-8 = m (x - (- 10))\\y-8 = m (x + 10)`

Thus, the most appropriate option is option C. Where the slope is
`m = -0.2`

Answer:

Option C