The local meteorologist is converting temperatures from Celsius to Fahrenheit. she knows that the formula for the conversion fro
1 answer:
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Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is .
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is: ,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
Answer:
(x, y) = (-3, -6)
Step-by-step explanation:
The second equation can be used to write an expression for y:
... -5x -21 = y . . . . . . . add y-21 to both sides
This expression can be substituted for y in the first equation:
... 6 = -4x +(-5x -21)
... 27 = -9x . . . . . add 21, collect terms
... -3 = x . . . . . . . divide by -9
Using this value of x in the expression for y, we find ...
... -5(-3) -21 = y = -6
The solution is x = -3, y = -6.
