Question

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented by the equation 8x+2y=17

Answer 1

Bumby Avenue is represented by the line:

y = -4*x - 7.

Primrose Avenue can be represented with:

8x + 2y = 17.

We may want to find the point where both avenues intersect.

Let's isolate y in this second equation:

2y = 17 - 8x

y = 17/2 - 8x/2 = -4*x + 17/2

Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.

Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.