Do you mean 6x-7y=10? If so, we will first rearrange the equation so that it is in y=mx+b form. To do this, we need to isolate for "y".
-7y=-6x+10 <-- We subtract 6x from both sides. This looks a little bit more like the form we are used to!
To make things easier, we'll multiply each side by (-1) to get rid of the negatives in front of "x" and "y".
7y=6x-10 <-- Remember the (-1) is applied to the 10 as well.
y=(6/7)x-(10/7) <--We divide both sides by 7 to isolate for "y". Again, remember that the 7 is applied to the 10.
Now we can see that the slope (m) is (6/7), and, we have the equation of the line too!
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The line perpendicular to a line with a slope of 1/5 has a slope of -5.
The slope of a line is undefined if the line is vertical.
The slope of a line perpendicular to one with slope m is -1/m. So for a line with slope 1/7, any line perpendicular to it will have: slope = -1 / (1/7) = -7
A vertical line has a slope of infinity.
Well since the lines are parallel they would have the same slope. And the slope of any horizontal line is 0. The slope of a vertical line is undefined.