Find an equation for the line parallel to the line −6x−2y=4 having the same y-intercept as −9x−8y=−16.

Question

I think the Input requires y=mx+b

Answer 1

We use intercept-slope equation you listed here.

y = mx+b.

 

A. Find the intercept-slope form of the equation -6x-2y=4.

 

That will be the slope of the equation you are looking for.

 

B. Find the y-intercept of the equation -9x-8y=16.

 

We do so by letting x = 0 and solve the equation above for y:

-9•0-8y=16.

 

The solution of the above equation will be the y-intercept of the equation you are looking for.

 

Substitute the numbers you found in A and B in the equation

y= mx+b

to find the equation you are looking for.

Questions?