<u>ANSWER: </u>
The equation of the line passing through the point (8,-6) and parallel to line with slope -2 is 2x + y -10 = 0.
<u>SOLUTION:
</u>
Given, a line is passing through the point (8, −6) and is parallel to another line, whose slope is −2
We need to find the equation of the line.
We know that, parallel lines will have same slope.
So slope of the required line is -2.
Now, we have a point on the line and slope of the line, so we can use point – slope form to find the line equation.
Point slope form is given as

Where "m" is the slope and
is a point on that line.
Here, 
Now, substitute values in point slope form.
y – (-6) = -2(x – 8)
y + 6 = -2x - 2(-8)
y + 6 = -2x + 16
2x + y +6 -16 = 0
2x + y -10 = 0
Hence, the equation of the line is 2x + y -10 = 0.