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Veronika [31]
3 years ago
13

What is an equation of the line that passes through the point (4,-6) and has a slope of -3

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0

Answer:

y = -3x -6

Step-by-step explanation:

-6 is on the y line on the graph

-Dominant- [34]3 years ago
5 0

Answer: The equation of the line is

y = - 3x + 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The line passes through (4,-6) and the slope is -3

To determine the intercept, we would substitute x = 4, y = - 6 and m = - 3 into y = mx + c. It becomes

- 6 = - 3 × 4 + c

- 6 = - 12 + c

c = - 6 + 12

c = 6

The equation becomes

y = - 3x + 6

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8 0
3 years ago
4) The area of a piece of pie in the shape of a sector is 7.1 in. The angle of the sector is 40°. Find the diameter of
elixir [45]

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

7.1 = 40/360 * 22/7 * r^2

7.1 = 1/9 * 22/7 * r^2

63.9 = 22r^2/7

r^2 = (7 * 63.9)/22

r^2 = 20.331818181818

r = square root of 20.331818181818

r = 4.51

d = r * 2 = 4.51 * 2 = 9.02

4 0
3 years ago
The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤<
Mars2501 [29]

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: f(x)=-\sqrt{x}

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : -\sqrt{x} →   -\sqrt{x-5}

So, g(x)=-\sqrt{x-5}

Now to find domain:

x-5>0

x>5

So, Domain = [5,∞).

8 0
3 years ago
3) John wants to make tarts. To make tarts, he needs 1/2 of a cup of flour per batch
Rudiy27
John can make 8 batches
5 0
3 years ago
Write the equation in slope-intercept form for the line that passes through the points (-6, -4) and (-3, 1).
ozzi

Answer:

y = 5/3x+6

Step-by-step explanation:

4 0
3 years ago
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