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3 years ago

Write an equation of a line with the given slope and y-intercept.

Mathematics

1 answer:

umka2103 [35]3 years ago

3 0

First thing the basic equation for the slope y intercept is “ y=my + b”. Keeping that in mind we just plug in the information we know: The y intercept is always “b” which is where the line on your graph intersects the y axis. The slope which would be “ m” is spaces you will move to get to the next point on your graph. The slope is 4/5 so that means you would move up 4 over 5 to get to the next point you will eventually hit the y intercept using this method. So in conclusion your answer will be Y= 4/5 x +2

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Equation for ( 6, 13) ( 7900, 5 )

tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y=mx+b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)$

We find the slope of the line:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}$

Thus, the equation of the line is of the form:

$y = - \frac {4} {3947} x + b$

We substitute one of the points and find b:

$13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}$

Finally, the equation is:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

Answer:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

5 0

3 years ago

Is 49 and 770 relatively prime

natita [175]

No nether are a prime number because they have a remainder and prime numbers can only be divided without a remainder by itself and one

6 0

3 years ago

Helpppppppppppppppppppp

m_a_m_a [10]

Answer:

option a

1/3=x/42

..........

4 0

3 years ago

Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest

soldier1979 [14.2K]

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:

$E = Pit$