Question

Mr. Coleman is mapping the boundaries of a zoo on a coordinate grid. The zoo's headquarters are located at the origin. The equation is shown below represents 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 shown the two boundaries and the zoo's entrance?​

Answer 1

Option B. The graph in the attached figure

Explanation:

we have

`y=-2x-5` ----> equation A

`-2x+4y=12` -----> equation B

we know that

To graph the lines, find the intercepts

Remember that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Equation A

`y=-2x-5`

For
`x=0, y=-5` ----> y-intercept

For
`y=0, x=-2.5` ----> x-intercept

Equation B

`-2x+4y=12`

For
`x=0, y=3` ----> y-intercept

For
`y=0, x=-6` ----> x-intercept

Plot the intercepts to graphs the lines

see the attached figure