Answer:
y= -x/2-7
Explanation:
We need to write an equation of the line that passes through the point (-2, -6) and is parallel to the line x + 2y = 8
We need to find slope m and y-intercept b for the new line.
First we need to find slope m of the new line.
The given line x+2y=8 is parallel to new line.
When lines are parallel, there slope is same.
First writing equation in slope-intercept form: where m is slope and b is y-intercept
Now comparing with the slope is :
Now finding y-intercept b
Using point (-2,-6) and slope we can find y-intercept
So, we get y-intercept b = -7
Now the equation of required line having slope and y-intercept b = -7 is:
So, the equation of new line is: