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Harrizon [31]
3 years ago
7

Will mark Brainliest! Find the equation of the line with slope −7 which goes through the point (−5,5).

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

  y -5 = -7(x +5)

Step-by-step explanation:

The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...

  y -k = m(x -h)

Filling in the given numbers, you get the equation ...

  y -5 = -7(x +5)

_____

This can be rearranged to any of several other forms:

  y = -7x -30 . . . . . slope-intercept form

  7x + y = -30 . . . . standard form

  x/(-30/7) + y/(-30) = 1 . . . . . intercept form

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Please show your work
anyanavicka [17]

Answer:

Step-by-step explanation:

This is a parallelogram.  What we know about the diagonals is that they intersect each other at their midpoints.  In other words, QT = ST, and PT = RT.  So that gives us 2 equations:

If QT = ST, then

2x = y + 3

If PT = RT, then

x + 5 = y  Solving by substitution, plug x + 5 in for y in the first equation.

2x = x + 5 + 3 and

2x = x + 8 and

x = 7  Now plug in 7 for x to solve for y:

If x + 5 = y, then

7 + 5 = y and

y = 12

6 0
3 years ago
What is the k?<br> k + 8/3 = -2
Leto [7]

Step-by-step explanation:

k +  \frac{8}{3}  =  - 2

\frac{3k + 8}{3}  =  - 2

Cross Multiplying

3k + 8 =  - 6

3k =  - 6 - 8

3k = 14

Therefore

k =  \frac{14}{3}

Hope it will help you.

8 0
3 years ago
Read 2 more answers
What is the Inequality for this graph?
mote1985 [20]

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the boundary line passes through the points (6,0) and (0,-4). So, the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-0=\dfrac{-4-0}{0-6}(x-6)

y=\dfrac{-4}{-6}(x-6)

y=\dfrac{2}{3}(x-6)

y=\dfrac{2}{3}x-4

The area under the boundary line is shaded and boundary line is a dotted line it means the points on the line are not included in the solution set. So, the inequality sing must be <.

y

Therefore, the required inequality for the given graph is y.

8 0
3 years ago
The problem (5x² + 10x — 15) ÷ (x + 5) can be done using synthetic division as it is.
denis23 [38]
True or false it will be true
4 0
3 years ago
What is the answer to 9x + 10 = -8
Bess [88]
Answer: the answer should be x=-2
8 0
3 years ago
Read 2 more answers
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