URGENT
1 answer:
Answer:
m2=5/6 m=-6/5
Step-by-step explanation:
two axes are perpendicular if the product of their slopes is equal to minus 1
first we find the slope for the axis we are given
-6x-5y=-5
this can also be written as
y=+1
-6/5 is the slope
-6/5*m2=-1
m2=5/6
this is the slope for the perpendicular axis
two lines are parallel if their slopes are equal
the slope for our line is -6/5 so the slope for the parallel line is also -6/5
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<em>Find the equation of the line passing through (4, 5) and parallel to </em>
<em> 3x-2y=4.</em>
<em />
<em> </em>
First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).
First, add 2y on both sides:-
Now, subtract 3x on both sides:-
Divide by 2 on both sides
Now, let's find the equation of the line that's parallel to the given line.
Remember, if lines are parallel to each other, then their slope's the same.
So the slope of the line that's parallel to the line whose equation we just found, is
Now let's write the equation in point-slope form:-
Replace numbers with letters, as follows:-
The equation above is the equation in point-slope form.
Incase you need it converted to slope intercept form, refer to the steps below ~
Multiply -3/2 times x and -4:-
Now, Add 5 on both sides:-
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