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Neko [114]
2 years ago
7

A line crosses through the point (3,10) and another point can be found on the line by going right 2 and down 7. find slope and y

intercept
Mathematics
1 answer:
DerKrebs [107]2 years ago
3 0

Answer:

y =  \frac{-7x}{2}+\frac{41}{2}

Step-by-step explanation:

We are given the point (3, 10).

The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).

Our formula for slope is m = \frac{rise}{run} = \frac{y2-y1}{x2-x1}

So, our equation would be \frac{3-10}{5-3} = \frac{-7}{2}

Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.

y = \frac{-7x}{2} + b

Now, we can substitute a point on the line to determine the y-intercept:

Using the point (3, 10),

10 = \frac{-7(3)}{2} + b

b = 10 + \frac{21}{2}

b = \frac{41}{2}

So our full equation is: y =  \frac{-7x}{2}+\frac{41}{2}

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Answer:

(-1, -6)

Step-by-step explanation:

f(x -5) is another way to say f(x) - 5

And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)

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5.4

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Read 2 more answers
7. What is the equation of a circle with a
Anni [7]

Answer:

equation of circle is (x+5)^2+(y-3)^2=16

Step-by-step explanation:

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centre of circle=(-5,3)

put the value of centre and redius in the equation

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What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?
Morgarella [4.7K]

Answer:

m ≠1  ( all m in R  except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0.....(*)

(2m − 1)x − y + 4 = 0 ....(**)

multiply (*) by : -1       you have :   -mx+y-3=0   ....(***)

                                                    (2m − 1)x − y + 4 = 0 ....(**)

add(***) and(**)  : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

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