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faltersainse [42]

3 years ago

14

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the given equation.

1 answer:

Pani-rosa [81]3 years ago

4 0

y = - 4x +3 when slope is -4

NOTE: Parallel lines have same slope.

For the line passing through point (-5, -6) the slope (m) = -4

Equation of that line:

(y - y1) = m (x -x1)

(y --6) = -4(x --5)

(y + 6) = -4(x + 5)

y + 6 = -4x -20

y = -4x -20 -6

y = -4x - 26

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Suppose f(x, y) is a differentiable function of x and y and let g(r, s) = f (2rs, 8s − 2r). Use

worty [1.4K]

By the chain rule,

$\dfrac{\partial g}{\partial r} = \dfrac{\partial f}{\partial r} \\\\ ~~~~~ = \dfrac{\partial f}{\partial x} \dfrac{\partial x}{\partial r} + \dfrac{\partial f}{\partial y} \dfrac{\partial y}{\partial r} \\\\ ~~~~~ = 2 s \dfrac{\partial f}{\partial x} - 2 \dfrac{\partial f}{\partial y}$

where $x(r,s)=2rs$ and $y(r,s)=8s-2r$ .

If $r=2$ and $s=1$ , then

$x = 2\cdot2\cdot1 = 4$

$y=8\cdot1-2\cdot2 = 4$

so that

$g_r(2,1) = 2\cdot1 f_x(4,4) - 2 f_y(4,4) = 2\cdot2-2\cdot3 = \boxed{-2}$

5 0

1 year ago

The endpoints of ab are a(1,4) and b(6,-1). If point c divides ab in the ratio 2:3, the coordinates of c are ?. If point d divid

aliya0001 [1]

Answer:

see explanation

Step-by-step explanation:

Find the coordinates of c using the section formula

$x_{c}$ = $\frac{(3(1)+(2(6)}{2+3}$ = $\frac{3+12}{5}$ = 3

$y_{c}$ = $\frac{(3(4))+(2(-1))}{2+3}$ = $\frac{12-2}{5}$ = 2

coordinates of c = (3, 2)

Similarly to find the coordinates of d

$x_{d}$ = $\frac{x(2(1))+(3(3))}{3+2}$ = $\frac{2+9}{5}$ = $\frac{11}{5}$

$y_{d}$ = $\frac{(2(4))+(3(2))}{3+2}$ = $\frac{8+6}{5}$ = $\frac{14}{5}$

coordinates of d = ( $\frac{11}{5}$ , $\frac{14}{5}$ )

4 0

3 years ago

Read 2 more answers

Ow many decimals numbers are there whose value equals the average of their digits?

kiruha [24]

Answer:

Step-by-step explanation:

there are infinite numbers between 2 and 3 having average=2.5

2.49,2.51

2.48,2.52

2.47,2.53

2.46,2.54

.................

2.491,2.509

2.492,2.508

2.493,2.507

......................

6 0

2 years ago

Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) <em>Slope of the line m = ∞</em>

<em>b) Slope of the line m =0</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<u><em>Step(i):-</em></u>

<em>Given points are ( 7,7) and (7,-8)</em>

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite$ <em />

<em> m = ∞</em>

<u><em>Step(ii):-</em></u>

Given points are (-6,7) and (9,7)

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0$ <em />

<em>Slope of the line m =0</em>

6 0

3 years ago

Help pleaseeeeeeeeeeeee

malfutka [58]

Answer:

i) +3

2.) 15

3.)5/8

4.)+98

5.)27

6.)17

7.) 12/17

8.)12/17

9.)+5

10.) 3.2

7 0

3 years ago