Question

Y= -1/2x - 6 and y= 7/6x + 4

Answer 1

To find the point of intersection of these two lines, we need to set the two equations equal to each other and solve for x:

-1/2x - 6 = 7/6x + 4

To simplify this equation, let's multiply both sides by 6 to get rid of the denominators:

-3x - 36 = 7x + 24

Now, let's combine like terms:

-3x - 7x = 24 + 36

-10x = 60

Divide both sides by -10:

x = -6

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the first equation:

y = -1/2(-6) - 6

y = 3 - 6

y = -3

Therefore, the point of intersection is (-6, -3).