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3 years ago

Don’t understand how! Please help!

Mathematics

1 answer:

Montano1993 [528]3 years ago

7 0

Quick question. What do you need help on? Is it finding the x and y values?

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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

Are the fractions 7/9 and 4/9 like fractions? Explain your

Natalka [10]

Answer:

Step-by-step explanation:

Because they are not proportional they do are not a multiple of each other

5 0

3 years ago

Read 2 more answers

A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live

Gwar [14]

Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000

4 0

3 years ago

Help I have one day to do this pleaseeeeeee

Sonbull [250]

I’m pretty sure the answer is c.

Since each I guess ‘layer, or cubes will have 12 cubes.

The height is 4

12*4=48

I hope this helps, I’m really sorry if the answer is wrong

6 0

3 years ago

Read 2 more answers

Find the surface area of the cylinder give your answer in terms of pi. The radius is 4mm and the height is 5mm

Komok [63]

The surface area of a cylinder is the area of the bases plus the area of the side, or SA = 2*A₁ + A₂

Since the area of a circle is $\pi r^{2}$ ,
SA = 2*( $\pi r^{2}$ ) + A₂

Since the area of the side is height * the circumference of the circle or A₂ = h * $2 \pi r$ , then SA must be;

SA = $2* \pi (r ^{2} )+h*2 \pi r$
SA = $2* \pi (4 ^{2} )+5*2 \pi (4)$
SA = $32* \pi+80 \pi$
SA ≈ 351.858377202

3 0

3 years ago