Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?
2 answers:
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Answer:
Step-by-step explanation:
Notice that in the second equation, the coefficient of is
times greater than in the first. Therefore, by making the coefficient of
in the second equation
times greater than in the first, it's impossible to only isolate one variable.
Therefore, when , there are no solutions to this system.
The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is
<em><u>Solution:</u></em>
Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)
We have to find the equation of line
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ------ eqn 1
Where "m" is the slope of line and "c" is the y - intercept
<em><u>Let us first find the slope of line</u></em>
The given equation of line is y = 3x + 6
On comparing the given equation of line y = 3x + 6 with eqn 1, we get,
m = 3
Thus the slope of given equation of line is 3
We know that <em>product of slopes of given line and slope of line perpendicular to given line is equal to -1</em>
Slope of given line slope of line perpendicular to given line = -1
Let us now find the equation of line with slope and containing the point (-9, -5)
Substitute and (x, y) = (-9, -5) in eqn 1
<em><u>Thus the required equation of line is:</u></em>
Substitute and c = -8 in eqn 1
Thus the required equation of line perpendicular to given line is found