First answer gets brainliestfind the equation of the line that contains the point (- 2, -6 ) and is parallel to the line 3x+ 7y = 10. write the equation in slope-intercept form, if possible.

Hello there!

To find the slope of the line 3x+7y=10 you can change it to slope intercept form or do implicit differentiation.

3x+7y=10
d/dx[3x+7y]=d/dx[10]
d/dx[3x]+d/dx[7y]=d/dx[10]
3+7dy/dx=0
7dy/dx=-3
dy/dx(7)=-3
dy/dx=-3/7

The slope of this line is -3/7

Since the lines are parallel, the equation of our line will look like:
y=(-3/7)x+b

Now to find b, use the point (-2,-6) and plug it in:
-6=(-3/7)(-2)+b
-6=6/7+b
-6-6/7=b
-48/7=b

Now finish writing the equation:
y=(-3/7)x-48/7

I hope this helps!
-HuronGirl