(a) let r be the region consisting of the points (x, y) that satisfy
-6 \leq 3x - 5y \leq6
and
-3 \leq x + 2y \leq 3. plot the region r and identify the vertices of polygon r.

(b) find the maximum value of x + y among all points (x, y) in r.

answer both parts. will give brainliest!

the answer is here: : )

:

step-by-step explanation:

let

we know that

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

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

it is 10.6 according to my calculations

the answer is b