Mathematics, 07.07.2019 16:00, cici170

Will give brainliest. more than one answer for each question. question 1. find the equation of the line with a slope of -3, passing through the point (2, 5). a. y = -3x - 1 b. y = -3x + 11 c. y = -3x + 5 d. y = 2x + 5 multiple answers. question 2. find the equation of the line passing through the points (2, -1) and (-6, -5) a. y = 2x - 5 b. y = -1/2 x c. y = 1/2 x d. y = 1/2 x - 2 multiple answers

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answered: payshencec21

One

Slope

The general slope intercept equation for a line is

y = mx + b

If you are told outright what the slope is then you can write m = slope in this case - 3

So you have so far is y = -3x + b. Now you use the point to get the y intercept.

(2,5) means that when x = 2, y = 5. that allows you to solve for b

Y intercept

When x = 2, y = 5. Substitute that into the general equation with the slope.

5 = -3x + b Put 2 in for x

5 = -3 * 2 + b Multiply -3 * 2

5 = - 6 + b Add 6 to both sides

5 + 6 = b

11 = b

Answer

y = -3x + 11

Two

This question is a little harder. You have to find the slope.

Slope Formula

$\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}$

Givens

Points (2, -1), (-6, - 5)

y2 = -1 ; y1 = -5; x2 = 2; x1 = -6

Solve

m = (-1 - - 5)/(2 - - 6) = (-1 + 5)(2 + 6) = 4/8 = 1/2

Now find the y intercept. Use either one of the given points

(2,-1) when x = 2, y = - 1

y = 1/2 x + b Show what you have so far. Put in x = 2 for x and y = - 1 for y

-1 = 1/2(2) + b Multiply 2*1/2

-1 = 1 + b Subtract 1 from both sides.

-1 -1 = b

- 2 = b

Answer

y = (1/2)x - 2 which is D

answered: Guest

50.2450.24 in squared
Find the area of the circle. d= 8 in

answered: Guest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Will give brainliest. more than one answer for each question. question 1. find the equation of the l...