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makkiz [27]
2 years ago
11

Write the equation of the line that passes through the points (7, -4) and (-1,3), first in point-slope form, and then in

Mathematics
1 answer:
RoseWind [281]2 years ago
5 0

Step-by-step explanation:

first we need to calculate the slope, which is needed in both equation forms.

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

I always prefer to go from left to right (but it works exactly the same way in the opposite direction), so I go from (-1, 3) to (7, -4).

x changes by +8 (from -1 to +7).

y changes by -7 (from +3 to -4).

so, the slope is -7/+8 = -7/8

when (7, -4) is used (I think you have a typo in the problem description up there), the point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being the point coordinates, and m bring the slope

y - -4 = -7/8 × (x - 7)

or simplified

y + 4 = -7/8(x - 7)

the slope-intercept form is

y = mx + n

m being the slope, n being the y-intercept (y value for x=0).

we know already

y = -7/8 x + n

we also use the coordinates of a point here to solve for n :

-4 = -7/8 × 7 + n = -49/8 + n

-32/8 = -49/8 + n

17/8 = n

so, the full equation is

y = -7/8 x + 17/8

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Help quick
xeze [42]

48/53

Steps

15 inches = 1.25 feet

Ratio = 12 : 1.25

Simplified = 9.6 : 1

9.6 + 1 = 10.6

9.6/10.6 = 48/53

Checking...

12 feet = 144 inches

Ratio = 144 : 15

144 + 15 = 159

144/159 = 48/53

5 0
2 years ago
Read 2 more answers
7m<br> 10 m<br> 7 m<br> 9 m<br> 34 m<br> What the is the area
notka56 [123]

Answer:

10m

hope this helped you alot

5 0
3 years ago
HELP ME OUT PLEASE!!!
ANTONII [103]

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

7 0
2 years ago
Please help me id really appreciate it
Olenka [21]
They answer has to be c
7 0
3 years ago
The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.​
Svetach [21]
The area of the circle is 1260.25 π m^2
8 0
2 years ago
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