All categories

3 years ago

Write the equation (use any form you choose) of the line that passes through the points (4, 3) and (-2, 6)

1 answer:

5 0

Gradient
$m = \frac{y - y}{x - x} \\ m = \frac{6 - 3}{ - 2 - 4} \\ m = \frac{ - 1}{2}$
$equation \\ y = mx + c \\ 3 = \frac{ - 1}{2} \times(4) + c \\ 3 = - 2 + c \\ c =5$

THE ANSWER IS :-
$y = mx + c \\ y = - \frac{1}{2} x + 5$

You might be interested in

Someone help me pleaseee

ikadub [295]

Answer:

2,7

Step-by-step explanation:

5 0

4 years ago

Write the standard form of the equation:<br> Slope= 3 y-intercept= -1

Amiraneli [1.4K]

Answer:

y=3x-1

Step-by-step explanation:

y=mx+b

y=3x+b

y=3x-1

7 0

3 years ago

What's the answer for this question? (The numbers after the letters are indexes btw) 27a9 x 18b5 x 4c2 Over 18a4 x 12b2 x 2c

zysi [14]

Answer:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

Step-by-step explanation:

Given

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Required

Simplify

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Cancel out 18

$\frac{27a^9 * b^5 * 4c^2 }{a^4 * 12b^2 * 2c}$

Divide 4 and 2

$\frac{27a^9 * b^5 * 2c^2 }{a^4 * 12b^2 *c}$

Divide 27 and 12 by 3

$\frac{9a^9 * b^5 * 2c^2 }{a^4 * 4b^2 *c}$

Apply law of indices

$\frac{9a^{9-4} * b^{5-2} * 2c^{2-1} }{4}$

$\frac{9a^5 * b^3 * 2c }{4}$

Divide 2 and 4

$\frac{9a^5 * b^3 * c}{2}$

$\frac{9a^5b^3c}{2}$

Rewrite as:

$\frac{9}{2}a^5b^3c$

Hence:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

4 0

3 years ago

Line segment AB has endpoints A(7, 4) and B(2, 5). Find the coordinates of the point that divides the line segment directed from

mrs_skeptik [129]

Answer:

(23/4, 17/4)

Step-by-step explanation:

The vector from A to B is ...

... V = B - A = (2-7, 5-4) = (-5, 1)

Point P that divides AB the way you want is 1/4 of that from A:

... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)

... P = (5 3/4, 4 1/4) = (23/4, 17/4)

6 0

4 years ago

Solve to find the answer of blue pills Mr body took: number of blue pills, b, mr mattics give him was 3 more than the number of

barxatty [35]

Answer:

Mr body took 9 blue pills

Step-by-step explanation:

Total number of pills consumed = 17

Number of blue pills, b = 11

Number of blue pills, b = g + 3

So that,

b = g + 3

11 = g + 3

g = 8

Total number of pills recommended = b + g

= 11 + 8

= 19

Total number of pills consumed = 17

Thus,

Number of blue pills consumed = 17 - 8

= 9

Therefore, Mr body took 9 blue pills.

5 0

3 years ago