Let's deal with the perpendicular part first. We need to find the slope of the given equation before we can figure out what the perpendicular slope is.
4x-7y=-2
7y = 4x + 2
y = (4/7)x + 2/7
So you know that the slope is 4/7. The perpendicular slope should be the opposite inverse of 4/7, which is -7/4. That's the slope you should use in your new equation.
y = (-7/4)x + b
Now plug in your point ad solve for b.
12 = (-7/4)(-5) + b
b = 13/4
Plug that into your equation and your answer is:
y = (-7/4)x + 13/4
Hope this helps! :)
4x-7y=-2
7y = 4x + 2
y = (4/7)x + 2/7
So you know that the slope is 4/7. The perpendicular slope should be the opposite inverse of 4/7, which is -7/4. That's the slope you should use in your new equation.
y = (-7/4)x + b
Now plug in your point ad solve for b.
12 = (-7/4)(-5) + b
b = 13/4
Plug that into your equation and your answer is:
y = (-7/4)x + 13/4
Hope this helps! :)
-
slope of line 4x-7y=-2
is
m= 4/7
slope of line parallel to this line is
m2 = 7/4
equation for the second line is
y-12 = (7/4)(x+5) , simplify it then put in in standard from. done.
is
m= 4/7
slope of line parallel to this line is
m2 = 7/4
equation for the second line is
y-12 = (7/4)(x+5) , simplify it then put in in standard from. done.