Describe how you would graph this line using the slope-intercept method. be sure to write in complete sentences. -(2/3)x + 490

The slope-intercept form is: y = mx + b  (m is the slope, b is the y-intercept [where x = 0 or (0 , y)])

Based on the equation, the y-intercept is 490, or (0, 490)

The slope is -2/3x

How slopes work >  [when you have a negative slope(-2/3x), you move down 2 units and to the right 3 units. when the slope is positive(pretend -2/3x is 2/3x), you move up 2 units, and to the right 3 units. The numerator tells you how many units you need to move to (-)down or (+)up, the denominator tells you how many units you need to move to the right]

To graph this line, I would start at the point (0, 490) or the y-intercept, then from that point I would begin using the slope to go down 2 units, and to the right 3 units to get a few points, such as (3, 488) and (6, 486)etc, and then draw a line through the points (hope this was helpful)

y=mx+b slope intercept form

m=slope

b=y-intercept

equation given;

y=(-2/3)x+490

So this tells us the graphed equation will have a decreasing slope of 2/3, so for every unit distance the line rises by 2 and runs by 3 units, and the line will cross the y-axis at (0,490) so now we just need to find where it crosses the x-axis then we can graph it easily. Substitute in the value of 0 for y into the given equation and solve for x. We get x=735 so that tells us at point (735,0) the line crosses the x-axis.

Any questions please feel free to ask. Thanks!

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !