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mafiozo [28]
3 years ago
15

Will mark brainliest please help me Explain step by step how to find the equation of a line that goes through the points ( 7, 2

), and ( 0, 4 ). Essay
Mathematics
2 answers:
seraphim [82]3 years ago
6 0

formula of a linear equasion:

y=mx+b

m=slope of the formula

to find m:

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

plug in: \frac{4-2}{0-7} =\frac{2}{-7}

m= -\frac{2}{7}

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

<em>b</em> is the <em>y intercept</em>

plug in to find b:

2=7(-\frac{2}{7} )+b\\2=-2+b\\4=b

∴ y=-\frac{2}{7} x+4

vagabundo [1.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

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FIFTY POINTS - It took 4 hours for a biker to travel from one city to another going at a certain speed. On the return trip, the
Crazy boy [7]

Answer:

Either 200 km or 160 km.

Step-by-step explanation:

Distance = speed × time

Let x = the biker's normal speed

Then

(1) d = 4x

For the return trip,

Time = distance/speed

(2)                 4.5 = 100/x + (d -100)/(x - 10)

                    4.5x = 100/x + (4x -100)/(x - 10)     Substituted (1) into (2)

                    4.5x = 100 + x(4x -100)/(x - 10)      Multiplied each side by x

          4.5x(x - 10) = 100(x - 10) + x(4x -100)      Multiplied each side by (x - 10)

          4.5x² - 45x = 100x - 1000 + 4x² -100x   Removed parentheses

          4.5x² - 45x = -1000 + 4x²                       Cancelled terms

          0.5x² - 45x = -1000     Subtracted 4x² from each side

0.5x² - 45x +1000 = 0            Added 1000 to each side

    x² - 90x +2000 = 0           Multiplied each side by 2

    (x - 50)(x - 40) = 0             Factored the quadratic

x - 50 = 0     x - 40 = 0          Applied zero product theorem

      x = 50          x = 40

Substitute in (1)

d = 4 × 50 = 200 km; d = 4  × 40 = 160 km

The distance between the two cities is either 200 km or 160 km.

Check:

   x = 50                                                    x = 40

4.5 = 100/50 + (200 - 100)/(50 - 10)     4.5 = 100/40 + (160 - 100)/(40 - 10)

4.5 = 2  + 100/40                                  4.5 = 2.5 + 60 /30

4.5 = 2 + 2.5                                         4.5 = 2.5 + 2

4.5 = 4.5                                               4.5 = 4.5  

OK

8 0
3 years ago
8 times 4/3 times a = 8
stepladder [879]

Answer:

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Step-by-step explanation:

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8a = 8 \div  \frac{4}{3}

8a = 6

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$0.82n is the answer
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7 0
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What the answer .....?
AysviL [449]
The answer would be A because 3.90 x 3.5 is equal to 13.65
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