A line is parallel to y = 2x – 8 and intersects the point (-4, -1). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

y=2x-7

Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

This means that our slope is 2 because m represents the slope.

The slope of our parallel line will then also be 2.

We can begin to plug that into point-slope form which is:

y - y1 = m(x - x1)

This is where (x1, y1) is a point the line intersects, and m is the slope.

Plugging in the slope, we'll have:

y - y1 = 2(x - x1)

We also know it intersects the point (-4, -1）

We can plug this into our equation as well.

y - (-1) = m(x - (-4))

y+1=2(x+4)

Now, we can simplify it into slope-intercept form:

y+1=2(x+4)

Distribute

y+1=2x+8

Subtract 1 from both sides

y=2x+8-1

y=2x-7

y = 2x + 7

Step-by-step explanation:

y - y1 = m(x - x1)

First, put y and x into the equation and enter the slope, which is 2.

y + 1 = 2(x + 4)

(The negative 1 and 4 are changed to a positive 1 and 4 since the two negative signs cancel each other out)

Next, distribute.

y + 1 = 2x + 8

Then, you move the 1 to the other side of the equation to isolate the y. This will change the 1's sign into a negative and you will result with this after adding like terms:

y = 2x + 7

The equation of the line parallel to y = 2x - 8, and that goes through the point (-4, -1) is y = 2x + 7

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 !