Question

A line passes through the point (-10,-4) has a slope of -1/2

Answer 1

Note: Consider we need to find the equation of the line because the question statement is missing.

Given:

A line passes through the point (-10,-4) has a slope of
`-(1)/(2)`.

To find:

The the equation of the line.

Solution:

The point slope form of a line is:

`y-y_1=m(x-x_1)`

Where, m is the slope of the line and
`(x_1,y_1)` is the point on the line.

A line passes through the point (-10,-4) has a slope of
`-(1)/(2)`. So, the equation of the line is:

`y-(-4)=-(1)/(2)(x-(-10))`

`y+4=-(1)/(2)(x+10)`

`y+4=-(1)/(2)x-5`

Subtract 4 from both sides, we get

`y+4-4=-(1)/(2)x-5-4`

`y=-(1)/(2)x-9`

Therefore, the equation of the line is
`y=-(1)/(2)x-9`