what is the equation of the line that passes through the point (-2, 14) and is perpendicular to the with the following equation?
2 answers:
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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
.