Mathematics, 12.08.2020 06:01 einsigcn8481

What is the equation of the line that passes through the point (2, -1) and has a slope of
3/2

Answers: 2

Show answers

Answers

Answer from: scarliie8942

The answer is

$y = \frac{3}{2} x - 4$

Step-by-step explanation:

To find the equation of the line using a point and slope we use the formula

y - y1 = m(x - x1)

where m is the slope

(x1 ,y1) is the given point

From the question

slope = 3/2

point = ( 2 , - 1)

Substitute these values into the above formula

That's

$y + 1 = \frac{3}{2} (x - 2)$

$y + 1 = \frac{3}{2} x - 3$

$y = \frac{3}{2} x - 3 - 1$

We have the final answer as

$y = \frac{3}{2} x - 4$

Hope this helps you

Answer from: itsjusmika

y= 3/2x -4

Step-by-step explanation:

Since we are given a point and a slope, we can use the point-slope formula.

$y-y_{1} = m(x-x_{1})$

where m is the slope and (x1, y1) is a point the line passes through.

We know the slope is 3/2 and the point we are given is (2, -1).

$m=\frac{3}{2} \\\\x_{1} = 2\\\\y_{1} = -1$

Substitute the values into the formula.

$y- -1 = \frac{3}{2} (x-2)$

$y+1=\frac{3}{2} (x-2)$

We want to find the equation of line , which is y=mx+b ( m is the slope and b is the y-intercept). Therefore, we must get y by itself on the left side of the equation.

First, distribute the 3/2. Multiply each term inside the parentheses by 3/2.

$y+1= (\frac{3}{2} * x) + (\frac{3}{2} *-2)$

$y+1= \frac{3}{2}x + (\frac{3}{2} *-2)$

$y+1=\frac{3}{2} x + -3$

$y+1=\frac{3}{2} x -3$

Next, subtract 1 from both sides.

$y+1-1=\frac{3}{2} x + -3 -1$

$y=\frac{3}{2} x + -3 -1$

$y=\frac{3}{2} x -4$

Now the line is in slope intercept form, therefore the equation of the line is y=3/2x -4. The slope of the line is 3/2 and the y-intercept is -4.

Answer from: Quest

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 !

Answer from: Quest

Vhjjkkvvhjj

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:30, Angelanova69134

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Answers: 1

continue

Mathematics, 21.06.2019 19:30, maddy6882

How are sas and sss used to show that two triangles are congruent?

Answers: 1

continue

Mathematics, 21.06.2019 22:00, nyceastcoast

Percent increase and decrease. original number: 45 new number: 18

Answers: 1

continue

Mathematics, 21.06.2019 22:30, ari9425

An ant travels at a constant rate of 30cm every 2 minutes. at what speed does the ant travel per minute