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

Answer:

Option B. The graph in the attached figure

Step-by-step 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