Question

Mr. Coleman is mapping the boundaries of a zoo on a coordinate grid. The zoo’s headquarters are located at the origin. The equations shown below represent two boundaries of the zoo.

y = −2x – 5
−2x + 4y = 12

The zoo’s entrance is located at the intersection of these two boundaries. Which coordinate grid correctly shows the two boundaries and the zoo’s entrance?

what would the points for the graph be

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the points for the graph of the two equations, we can set them equal to each other and solve for the x and y coordinates of the intersection point (the zoo's entrance).

First, we set the equations equal to each other:
-2x - 5 = 12
-2x = 17
x = -8.5

Now, we can plug this x value back into one of the equations to solve for y:
y = -2(-8.5) - 5
y = 17 - 5
y = 12

The intersection point (zoo's entrance) is (-8.5, 12).

Now we can plot the two boundaries on a coordinate grid:
- y = -2x - 5
-2x + 4y = 12

The correct coordinate grid would show the two lines intersecting at (-8.5, 12) to represent the zoo's entrance.