All categories

3 years ago

Line passes through points (-1,-2) and (1,4). What is the equation of the line?

Mathematics

2 answers:

scoray [572]3 years ago

5 0

Answer: y=3x+1

Step-by-step explanation:

First find slope using formula

m= y2–y1/x2–x1

m= 4– (—2)/ 1— (—1)

m= 3

So,

y= mx+b

y=3x+b. Using (1,4) plug into equation of a line

4= 3(1)+b

4 – 3= b

1= b. So,

y=3x+1

GenaCL600 [577]3 years ago

3 0

Answer:

y= 3x+1.

Step-by-step explanation:

(-1,-2) and (1,4)

x1 = -1

x2= 1

y1= -2

y2=4

y - y1= (y2 - y1)

______ ( x - x1)

(x2 - x1)

y- (-2)=(4-(-2))

_____ (x- (-1))

(1-(-1))

y+2= 4+2

___ (x+1)

1+1

y+2= 6

_ (x + 1)

y+2=3(x+1)

y+2=3x+3

y=3x+1.

You might be interested in

What is the following logarithmic equation in exponential form: log2(x^4 -3) = 4

Harman [31]

Answer:

$2^{4}$ = $x^{4}$ - 3

Step-by-step explanation:

recall for a logrithimic expression,

$log_{b}$ (c)=a, can be expressed as $b^{a} = c$

hence for our question

$log_{2}$ [ (x^4) -3] = 4

can be expressed as

$2^{4}$ = $x^{4}$ - 3

8 0

3 years ago

Is there a answer to this

hodyreva [135]

Answer:

mean=71

Step-by-step explanation:

Mean x¯¯¯x¯

Median x˜x~

Mode

64, 83, 79, 38, 81, 90, 59, 93, 70, 73, 71, 51

Range

Minimum

Maximum

Count n

Sum

852

Quartiles

Quartiles:

Q1 --> 61.5

Q2 --> 72

Q3 --> 82

Interquartile

Range IQR

20.5

Outliers

none

5 0

3 years ago

What is the percentile rank when the Z score is -1.2 and the raw score is 52

Marrrta [24]

For the numbers below find the percentile rank (the % of individuals scoring below). ... For the numbers below find percent of cases falling between the two z-scores. ... The patient scores a 45 on the test (mean = 52, standard deviation of 5.Find the z-scores corresponding to each of the following values: a) A score ... On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming ... a) Separate the highest 30% from the rest of the distribution. .52 ... For the z-scores below, find the percentile rank (percent of individuals scoring below):.

8 0

3 years ago

Pls help thx , I’m behind ;(

sweet-ann [11.9K]

5 is the in its value bc its on the y intercept meaning the starting point

6 0

3 years ago

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$

So, we have the follwing system:

$\begin{cases} x-y=15\\2x-3y = -12\end{cases}$

From the first equation, we can derive $x = y+15$ , and substitute this expression in the second equation to get

$2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42$

Substitute this value for y in the first equation to get

$x-42=15 \iff x=15+42 \iff x = 57$

8 0

3 years ago