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Anon25 [30]
3 years ago
15

Which is the equation of the given line in slope-intercept form? (-1, 2) and (1, -4)

Mathematics
2 answers:
Natalka [10]3 years ago
6 0
1. Find the slope using the slope formula.
\frac{2 - ( - 4)}{ - 1 - 1}  =  \frac{2 + 4}{ - 2}  =  -  \frac{6}{2}  =  -  \frac{3}{1}  =  - 3
2. Plug that slope and either point into an equation in slope-intercept form and solve for b.
2 =  - 3( - 1) + b \\ 2 = 3 + b \\  - 1 = b
3. Now write your answer as a slope-intercept form equation
y =  - 3x - 1
boyakko [2]3 years ago
3 0
Slope-intercept form : y=mx+b ; where m=slope, b=y-intercept

Passes through (-1, 2) as well as (1, -4)

Our first step is to find the slope. So, using the slope formula, let's get started! :)

Slope formula : m = y₂-y₁ / x₂-x₁

y₂ = -4 ; y₁ = 2 ; x₂ = 1 ; x₁ = -1

So, let's plug in our values! :)

m = y₂-y₁/x₂-x₁ → m = -4 - (2) / 1 - (-1)

Simplify.

m = -4 - 2 / 1 + 1

Simplify.

m = -6 / 2

Simplify.

m = -3

Now choose a set of points - I chose (-1, 2)

Now with those points, plug those points (and slope) into slope intercept form

y = mx + b

(2) = -3(-1) + b

Simplify.

2 = 3 + b

Now we have to isolate b - simply subtract 3 from both sides.

2 -3 = b

b = -1

Now we have our b value!

**Remember : m = -3, b = -1**

So now we just need to plug these into slope intercept form :)

y = mx + b

y = -3x - 1

~Hope I helped!~


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Mary's dog needs medication she told the veterinarian that the dog weighs 30 pounds the medicine is measured as 16 mg for each k
shtirl [24]

Answer:

30 pounds is 13.6078 kilograms.

13 x 16 = 208.

Mary's dog should be given 208 mg of medicine.

6 0
3 years ago
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long,
Gre4nikov [31]

The length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

<h3>Length of the longest slide</h3>

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

Learn more about Length of the longest slide here:brainly.com/question/7807143

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8 0
2 years ago
HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

r=\sqrt{(0+4)^{2}+(0+3)^{2}}

r=\sqrt{(4)^{2}+(3)^{2}}

r=\sqrt{25}

r=5\ units

step 2

Find the equation of the circle

(x-h)^{2}+(y-k)^{2}=r^{2}

the center is the point (-3,-4) and the radius is r=5 units

substitute

(x+3)^{2}+(y+4)^{2}=5^{2}

(x+3)^{2}+(y+4)^{2}=25

6 0
3 years ago
Ance
Paraphin [41]

Answer:

Where’s the graph?

Step-by-step explanation:

3 0
3 years ago
Graph the function and select the y-intercept<br> y = 2 • 3^x<br> a. 1<br> b. 2<br> c. 3<br> d. 4
kozerog [31]

Answer:

For the graph see attached image.

The y-intercept is 2

Step-by-step explanation:

The requested graph of the function is included in the attached image.

The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):

y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2

8 0
3 years ago
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