What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

Answers

Answer 1

Answer: Using the point-slope form (y - y₁) = m (x - x₁)

m= gradient = Δy/Δx

= $(5 - (-1))/((-1) - 3)$

= - $(3)/(2)$

midpoint of the line = $( (x_(1) + x_(2) )/(2) , (y_(1) + y_(2) )/(2))$
= $(\frac{3 + (-1)} {2} , (-1 + 5 )/(2))$

= (1 , 2)

Using the formula, plug in the values for m = 3/2, y₁= 2 , x₁= 1

(y - 2) = 3/2 (x - 1)

y - 2 = $(3)/(2)x - (3)/(2)$

⇒ $y - (3)/(2) x = (4)/(2) - (3)/(2)$

⇒ $y - (3)/(2) x = (1)/(2)$

by multiplying through by 2,

⇒ 2y - 3x = 1

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PLEZ HURRY I NEED HELPPPPPP
WILL GIVE BRAINLYST

Answers

Answer:

B. $13.75.

Step-by-step explanation:

To find the bill for lunch before the tip was added, we can set up an equation using the given information.

Let's assume the bill for lunch is represented by the variable "x".

We know that Mrs. Chin paid a 20% tip on the bill, which is equivalent to 0.20x.

According to the question, the tip amount is $2.75.

So we can write the equation as:

0.20x = $2.75

To solve for x, we need to isolate it.

Divide both sides of the equation by 0.20:

x = $2.75 / 0.20

Simplifying this gives us:

x = $13.75

Therefore, the bill for lunch before the tip was added is $13.75.

A spinner has three sections. The table shows the results of spinning the arrow on spinner 80 times. Three column table. First column values are Section 1 and 28. Second column values are Section 2 and 36. Third column values are Section 3 and 16.

What is the experimental probability of the arrow stopping over Section 1?

A.1/28

B.7/20

C.7/13

D.4/5

Answers

The correct answer for the question that is being presented above is this one: "C.7/13." A spinner has three sections. The table shows the results of spinning the arrow on spinner 80 times.Three column table. First column values are Section 1 and 28. Second column values are Section 2 and 36. Third column values are Section 3 and 16.

Answer:

7/13

Step-by-step explanation:

hope this helps!!!!!!!!!!!!!!!

552.5 is what percent of 425

Answers

percent means parts out of 100
x%=x/100
'of' means multiply
552.5=x/100 times 425
divide bothsides by 425
552.5/425=x/100
multiply both sides by 100
55250/425=x
use calculator
130=x

answer is 130%

How do you solve the function y = 2.5^x for y=20

Answers

$y=2.5^x;\ y=20\n\n2.5^x=20\n\nlog_(2.5)2.5^x=log_(2.5)20\n\nx=log_(2.5)20\n\nx=log_(2.5)(2.5\cdot8)\n\nx=log_(2.5)2.5}+log_(2.5)8\n\nx=1+log_(2.5)8$

ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?

Answers

Answer:

Step-by-step explanation:

Andrew stays in shape by running various distances throughout the week. On monday he ran 3 miles on tuesday he ran 4.6 on thrusday 6.76 and on saturday he runs 4.8 miles. What is the mean distance that andrew runs per day