Question

Consider the equation x+4=−2x+19. Let f(x)=x+4 and g(x)=−2x+19. The graph of each function is shown. 7.04 2 At what point do the graphs intersect? Enter your answer in the box. Question 7 options:

Answer 1

They intersect at (5, 9)

Explanation:

`f(x) = x+4\\g(x) = -2x+19\\`

Now we solve f(x) = g(x)

`x+4 = -2x+19\\3x =15\\x=5`

We found that x = 5, let's fill that in, in either equation.

`f(x) = 5 + 4 = 9\\g(x) = -2 * 5 + 19 = 9`

Which means that y = 9.

Therefore the intersection is (5, 9)