where does y=-1/2x-6 and y=7/6x+7 intersect on a graph
To find the intersection point of the two lines y = -1/2x - 6 and y = 7/6x + 7, we can set their equations equal to each other:
-1/2x - 6 = 7/6x + 7
Multiplying the whole equation by 6 to eliminate the fractions, we get:
-3x - 36 = 7x + 42
Rearranging the equation:
-3x - 7x = 42 + 36
-10x = 78
x = 78 / -10
x = -7.8
Now, substitute this value of x into one of the original equations, let's use y = -1/2x - 6:
y = -1/2(-7.8) - 6
y = 3.9 - 6
y = -2.1
Therefore, the two lines intersect at the point (-7.8, -2.1) on the graph.