All categories

3 years ago

Find the equation in slope-intercept form that describes a line through (–1, 1) and (2, 3)

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

y = 2/3x + 5/3

Step-by-step explanation:

The slope of the line is ...

slope = (change in y)/(change in x) = (3-1)/(2-(-1)) = 2/3

Then the point-slope form of the desired line can be written ...

y = m(x -h) +k . . . . . slope m through point (h, k)

y = 2/3(x +1) +1 . . . . slope 2/3 through point (-1, 1)

y = 2/3x + 5/3 . . . . . . simplify to slope-intercept form

You might be interested in

R+3.2=6.1 What is the value of r? Show work

ankoles [38]

Hello,

The answer is 2.9.

Reason:

Solve this two ways:

1. You could be just regularly solving the question but subtracting 6.1 to 3.2.

6.1-3.2=2.9

2. Or you could be solving variable.

Subtract 3.2 on both sides:

6.1-3.2=2.9

r=2.9

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

4 0

3 years ago

Read 2 more answers

What are the values of a and b

makvit [3.9K]

Answer:

$\large\boxed{B.\ a=8,\ b=4\sqrt5}$

Step-by-step explanation:

We have three similar triangles:

$\triangle ABC\sim\triangle DBA\sim\triangle DAC$

therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{BD}{AD}$

We have AD = a, CD = 16 and BD = 4. Substitute:

$\dfrac{a}{16}=\dfrac{4}{a}$ cross multiply

$(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8$

and other proportion:

$\dfrac{AB}{BC}=\dfrac{BD}{AB}$

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

$\dfrac{b}{20}=\dfrac{4}{b}$ cross multiply

$(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}$

3 0

3 years ago

Plis a. 6 - (-4)(-2)(+1)

poizon [28]

Answer: -2

Step-by-step explanation: q te vaya bn

5 0

3 years ago

The statue of liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch. Isla is building a model o

marishachu [46]

Whoever does paper homework, This is what you do: Get your homework out. Example: Math or something Find a word problem and google the exact problem with no lower case at the beginning When you google that problem, You will most likely find PDFs. Look through the PDFs. One pdf may have only your problem's answer or one pdf may have answers for the whole page! or even a lesson.

6 0

3 years ago

Is 75/100 equal to 3/4

gogolik [260]

Yes it is equal

75/100=15/20=3/4

5 0

3 years ago

Read 2 more answers