Oso29
16.12.2019 •
Mathematics
Consider the line y = -7x+6.
find the equation of the line that is parallel to this line and passes through the point (
5
5
)
find the equation of the line that is perpendicular to this line and passes through the point (5,-5).
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Ответ:
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following equation:
With slope
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:
We replace the point (5,5) through which the line passes and find "b":
Finally, the equation is:
On the other hand, if two lines are perpendicular then the product of their slopes is -1. Thus, the slope of a perpendicular line will be:
Thus, the equation is of the form:
We substitute the point (5, -5) through which the line passes and find "b":
Finally, the equation is:
Ответ:
Step-by-step explanation:
Hello there!
Solve for x:
-3x(x-8)-7x=12
-3x^2+24x-7x=12
-3x^2+17x+12=0
Can you factor it further?Feel free to ask questions in the comments.
:)