Determine if each statement is true or false
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<em>Write the equation of a line perpendicular to y=-12x+2 going </em>
<em> through (0, -1)</em>
<em />
<em> </em>
First, let's take a look at our provided information:-
- A line
- A point (0, -1)
- The line
is perpendicular to the line that goes through (0, -1)
If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.
So we take the slope of the given line, which is -12, change its sign from minus to plus:-
And now, We flip the number over:-
Now that we've found the slope of the line, let's find its equation.
The first step is to write it in point-slope form as follows:-
Replace letters with numbers,
On simplification,
On further simplification,
Subtracting 1 on both sides,
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