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Romashka [77]
2 years ago
8

Find the equation of the line passing through the points (0,7) and (5,-3). ​

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
8 0

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = \frac{-3-7}{5-0} = \frac{-10}{5} = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

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If angle A and angle B are supplementary angles and angle A is eight times as large as angle ​B, find the measures of angle A an
ruslelena [56]

Step-by-step explanation:

A=8B  

A+B=180

8B+B=180°

9B=180°

B=20°

so  

angle A =8×20=160°

angle B= 20°

6 0
3 years ago
Please help I don’t understand how to do this
horsena [70]

Answer:

DOC = 70

BOC = 110

AOD = 110

Step-by-step explanation:

AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.

AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.

Hope this makes sense:)

5 0
3 years ago
A rectangular park is 150 yards on one side and 125 yards on the other.
Ket [755]
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.

so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.

So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
                                    = 2 ( 150 + 125 )
                                    = 2 * 275
                                    = 550 yards

Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.

i.e. Debbie walked 2 * Perimeter
                               = 2 * 550
                               = 1100 yards

Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the  rectangular park (1,000,000 / the Perimeter of the park)
         i.e.  1,000,000 / 550
             = 1818.18 times

So, 
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
4 0
3 years ago
Write a point slope equation for -5/7 using the coordinates (6,2)
sleet_krkn [62]

Answer:

(13, -3)

Step-by-step explanation:

slope = -5/7

(6,2)  

m = ( y2 - y1) / ( x2 - x1 )

-5/7 = ( y2 - 2) / ( x2 - 6 )

   

    -5 = y2 -2

        +2        +2

        -3 = y2


      7 = x2 - 6

    +6         +6

      13 = x2


Check answer again by log them in:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -3 - 2 ) / ( 13 - 6 )

m = -5 / 7


I hope this helps!

7 0
3 years ago
I have 3 questions.
mote1985 [20]
Similar triangles are scales drawing of one another is true, what is the slope of this equations is undefined, to what line equation does the points are solution of sets are,35 the answer
8 0
3 years ago
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