Answer: The lines intersect at the point (7, 24)
Step-by-step explanation:
We have two lines:
y = 6*x - 18
y = 8*x - 32
We want to find the point at which both lines intersect, this means that there is a point (x, y) that belongs to both lines.
This means that we can write:
6*x - 18 = y = 8*x - 32
Because the y-value should be the same for both lines, then we get:
6*x - 18 = 8*x - 32
Now we can solve this for x.
6*x - 18 = 8*x - 32
32 - 18 = 8*x - 6*x
14 = 2*x
14/2 = x = 7
Now we know that the lines intersect at x = 7, replacing this in any of the two equations we can get the y value at which the lines intersect, let's use the first equation:
y = 6*7 - 18 = 24
So the lines intersect at the point (7, 24)
